Datasets:
Tasks:
Visual Question Answering
Modalities:
Image
Formats:
imagefolder
Languages:
English
Size:
1K - 10K
License:
| {"qid": 11100, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 0], "A": [1.057809641888072, 7.9443235916647374], "B": [2.9421903581119278, -7.9443235916647374]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 0), radius=8; segment endpoints A=(1.057809641888072, 7.9443235916647374), B=(2.9421903581119278, -7.9443235916647374). Is AB a diameter?", "im_path": "/images_full/task_11100_diameter.png", "im_dots_path": "/images/task_11100_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11101, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, -1], "A": [-10, -9], "B": [10, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, -1), radius=7; segment endpoints A=(-10, -9), B=(10, -7). Is AB a diameter?", "im_path": "/images_full/task_11101_diameter.png", "im_dots_path": "/images/task_11101_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11102, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, -3], "A": [-3.1570931393941333, -5.879150573405907], "B": [-4.842906860605867, -0.12084942659409315]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, -3), radius=3; segment endpoints A=(-3.1570931393941333, -5.879150573405907), B=(-4.842906860605867, -0.12084942659409315). Is AB a diameter?", "im_path": "/images_full/task_11102_diameter.png", "im_dots_path": "/images/task_11102_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11103, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-1, -3], "A": [8, 0], "B": [1, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-1, -3), radius=4; segment endpoints A=(8, 0), B=(1, -1). Is AB a diameter?", "im_path": "/images_full/task_11103_diameter.png", "im_dots_path": "/images/task_11103_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11104, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, -5], "A": [11.319700480510559, -1.989786413452589], "B": [-1.3197004805105577, -8.010213586547412]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, -5), radius=7; segment endpoints A=(11.319700480510559, -1.989786413452589), B=(-1.3197004805105577, -8.010213586547412). Is AB a diameter?", "im_path": "/images_full/task_11104_diameter.png", "im_dots_path": "/images/task_11104_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11105, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, -3], "A": [1.7604968611151222, 0.8086243465528371], "B": [8.239503138884878, -6.808624346552837]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, -3), radius=5; segment endpoints A=(1.7604968611151222, 0.8086243465528371), B=(8.239503138884878, -6.808624346552837). Is AB a diameter?", "im_path": "/images_full/task_11105_diameter.png", "im_dots_path": "/images/task_11105_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11106, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, -5], "A": [6, -7], "B": [8, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, -5), radius=2; segment endpoints A=(6, -7), B=(8, 3). Is AB a diameter?", "im_path": "/images_full/task_11106_diameter.png", "im_dots_path": "/images/task_11106_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11107, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, -1], "A": [3, 10], "B": [4, -5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, -1), radius=3; segment endpoints A=(3, 10), B=(4, -5). Is AB a diameter?", "im_path": "/images_full/task_11107_diameter.png", "im_dots_path": "/images/task_11107_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11108, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, 1], "A": [-4.923539060123404, 8.446671697069286], "B": [0.9235390601234039, -6.446671697069286]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, 1), radius=8; segment endpoints A=(-4.923539060123404, 8.446671697069286), B=(0.9235390601234039, -6.446671697069286). Is AB a diameter?", "im_path": "/images_full/task_11108_diameter.png", "im_dots_path": "/images/task_11108_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11109, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, 3], "A": [2, -7], "B": [-2, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, 3), radius=3; segment endpoints A=(2, -7), B=(-2, 4). Is AB a diameter?", "im_path": "/images_full/task_11109_diameter.png", "im_dots_path": "/images/task_11109_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11110, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, -4], "A": [-1.1958792694137177, -5.0662583778316845], "B": [-6.804120730586282, -2.9337416221683155]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, -4), radius=3; segment endpoints A=(-1.1958792694137177, -5.0662583778316845), B=(-6.804120730586282, -2.9337416221683155). Is AB a diameter?", "im_path": "/images_full/task_11110_diameter.png", "im_dots_path": "/images/task_11110_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11111, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, -3], "A": [-0.6104311846089123, -5.39409390270016], "B": [-9.389568815391087, -0.6059060972998398]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, -3), radius=5; segment endpoints A=(-0.6104311846089123, -5.39409390270016), B=(-9.389568815391087, -0.6059060972998398). Is AB a diameter?", "im_path": "/images_full/task_11111_diameter.png", "im_dots_path": "/images/task_11111_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11112, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, 5], "A": [2.8985930973394822, 6.269735044275412], "B": [-12.898593097339482, 3.7302649557245884]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, 5), radius=8; segment endpoints A=(2.8985930973394822, 6.269735044275412), B=(-12.898593097339482, 3.7302649557245884). Is AB a diameter?", "im_path": "/images_full/task_11112_diameter.png", "im_dots_path": "/images/task_11112_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11113, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, -5], "A": [-5, 6], "B": [8, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, -5), radius=1; segment endpoints A=(-5, 6), B=(8, -1). Is AB a diameter?", "im_path": "/images_full/task_11113_diameter.png", "im_dots_path": "/images/task_11113_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11114, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 5], "A": [1.8933782374861132, 2.0018952987331424], "B": [2.1066217625138868, 7.998104701266858]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 5), radius=3; segment endpoints A=(1.8933782374861132, 2.0018952987331424), B=(2.1066217625138868, 7.998104701266858). Is AB a diameter?", "im_path": "/images_full/task_11114_diameter.png", "im_dots_path": "/images/task_11114_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11115, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 0], "A": [-5, -10], "B": [1, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 0), radius=1; segment endpoints A=(-5, -10), B=(1, -7). Is AB a diameter?", "im_path": "/images_full/task_11115_diameter.png", "im_dots_path": "/images/task_11115_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11116, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, -3], "A": [2.7041890097767576, 2.992703551658729], "B": [3.2958109902232424, -8.992703551658728]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, -3), radius=6; segment endpoints A=(2.7041890097767576, 2.992703551658729), B=(3.2958109902232424, -8.992703551658728). Is AB a diameter?", "im_path": "/images_full/task_11116_diameter.png", "im_dots_path": "/images/task_11116_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11117, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [0, -3], "A": [-0.7207604765046483, -1.1343890181742624], "B": [0.7207604765046483, -4.865610981825737]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(0, -3), radius=2; segment endpoints A=(-0.7207604765046483, -1.1343890181742624), B=(0.7207604765046483, -4.865610981825737). Is AB a diameter?", "im_path": "/images_full/task_11117_diameter.png", "im_dots_path": "/images/task_11117_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11118, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, -1], "A": [0, -1], "B": [-5, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, -1), radius=7; segment endpoints A=(0, -1), B=(-5, -9). Is AB a diameter?", "im_path": "/images_full/task_11118_diameter.png", "im_dots_path": "/images/task_11118_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11119, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, 3], "A": [12.998736505769735, 3.142177041981325], "B": [-2.9987365057697355, 2.857822958018675]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, 3), radius=8; segment endpoints A=(12.998736505769735, 3.142177041981325), B=(-2.9987365057697355, 2.857822958018675). Is AB a diameter?", "im_path": "/images_full/task_11119_diameter.png", "im_dots_path": "/images/task_11119_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11120, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, -5], "A": [3, 4], "B": [4, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, -5), radius=1; segment endpoints A=(3, 4), B=(4, 3). Is AB a diameter?", "im_path": "/images_full/task_11120_diameter.png", "im_dots_path": "/images/task_11120_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11121, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [4, 0], "A": [4.969526205736542, 6.932533370737577], "B": [3.0304737942634583, -6.932533370737577]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(4, 0), radius=7; segment endpoints A=(4.969526205736542, 6.932533370737577), B=(3.0304737942634583, -6.932533370737577). Is AB a diameter?", "im_path": "/images_full/task_11121_diameter.png", "im_dots_path": "/images/task_11121_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11122, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, 3], "A": [-2, 5], "B": [-9, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, 3), radius=8; segment endpoints A=(-2, 5), B=(-9, 5). Is AB a diameter?", "im_path": "/images_full/task_11122_diameter.png", "im_dots_path": "/images/task_11122_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11123, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 1], "A": [1, 6], "B": [7, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 1), radius=2; segment endpoints A=(1, 6), B=(7, 7). Is AB a diameter?", "im_path": "/images_full/task_11123_diameter.png", "im_dots_path": "/images/task_11123_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11124, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, 0], "A": [8.956569047559519, -6.953097250283068], "B": [1.0434309524404801, 6.953097250283068]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, 0), radius=8; segment endpoints A=(8.956569047559519, -6.953097250283068), B=(1.0434309524404801, 6.953097250283068). Is AB a diameter?", "im_path": "/images_full/task_11124_diameter.png", "im_dots_path": "/images/task_11124_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11125, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, -4], "A": [3, 8], "B": [6, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, -4), radius=6; segment endpoints A=(3, 8), B=(6, -4). Is AB a diameter?", "im_path": "/images_full/task_11125_diameter.png", "im_dots_path": "/images/task_11125_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11126, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, -4], "A": [7.880012179110567, -1.2241163842526102], "B": [2.119987820889433, -6.775883615747389]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, -4), radius=4; segment endpoints A=(7.880012179110567, -1.2241163842526102), B=(2.119987820889433, -6.775883615747389). Is AB a diameter?", "im_path": "/images_full/task_11126_diameter.png", "im_dots_path": "/images/task_11126_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11127, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 3], "A": [-1.9952955768479068, 2.8060586335524316], "B": [5.995295576847907, 3.1939413664475684]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 3), radius=4; segment endpoints A=(-1.9952955768479068, 2.8060586335524316), B=(5.995295576847907, 3.1939413664475684). Is AB a diameter?", "im_path": "/images_full/task_11127_diameter.png", "im_dots_path": "/images/task_11127_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11128, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, -3], "A": [9, -2], "B": [-2, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, -3), radius=5; segment endpoints A=(9, -2), B=(-2, -3). Is AB a diameter?", "im_path": "/images_full/task_11128_diameter.png", "im_dots_path": "/images/task_11128_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11129, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 5], "A": [3.5014072489170003, -0.45371082613164226], "B": [-1.5014072489170003, 10.453710826131642]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 5), radius=6; segment endpoints A=(3.5014072489170003, -0.45371082613164226), B=(-1.5014072489170003, 10.453710826131642). Is AB a diameter?", "im_path": "/images_full/task_11129_diameter.png", "im_dots_path": "/images/task_11129_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11130, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 5], "A": [8, 1], "B": [-3, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 5), radius=2; segment endpoints A=(8, 1), B=(-3, -9). Is AB a diameter?", "im_path": "/images_full/task_11130_diameter.png", "im_dots_path": "/images/task_11130_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11131, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, 4], "A": [-0.3105522493354931, 2.265330062003841], "B": [-9.689447750664506, 5.734669937996159]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, 4), radius=5; segment endpoints A=(-0.3105522493354931, 2.265330062003841), B=(-9.689447750664506, 5.734669937996159). Is AB a diameter?", "im_path": "/images_full/task_11131_diameter.png", "im_dots_path": "/images/task_11131_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11132, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, 3], "A": [6, -5], "B": [-10, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, 3), radius=4; segment endpoints A=(6, -5), B=(-10, -9). Is AB a diameter?", "im_path": "/images_full/task_11132_diameter.png", "im_dots_path": "/images/task_11132_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11133, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-1, 2], "A": [-8.999098887816682, 1.8799292586434513], "B": [6.999098887816682, 2.1200707413565487]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-1, 2), radius=8; segment endpoints A=(-8.999098887816682, 1.8799292586434513), B=(6.999098887816682, 2.1200707413565487). Is AB a diameter?", "im_path": "/images_full/task_11133_diameter.png", "im_dots_path": "/images/task_11133_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11134, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, -5], "A": [8.559458156908402, -10.752601585507609], "B": [-2.559458156908401, 0.752601585507608]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, -5), radius=8; segment endpoints A=(8.559458156908402, -10.752601585507609), B=(-2.559458156908401, 0.752601585507608). Is AB a diameter?", "im_path": "/images_full/task_11134_diameter.png", "im_dots_path": "/images/task_11134_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11135, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, 5], "A": [-7.434057290996869, 2.9488416633152763], "B": [-0.5659427090031306, 7.051158336684724]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, 5), radius=4; segment endpoints A=(-7.434057290996869, 2.9488416633152763), B=(-0.5659427090031306, 7.051158336684724). Is AB a diameter?", "im_path": "/images_full/task_11135_diameter.png", "im_dots_path": "/images/task_11135_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11136, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, 4], "A": [-6, -6], "B": [2, 0]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, 4), radius=8; segment endpoints A=(-6, -6), B=(2, 0). Is AB a diameter?", "im_path": "/images_full/task_11136_diameter.png", "im_dots_path": "/images/task_11136_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11137, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, 4], "A": [7, 5], "B": [6, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, 4), radius=8; segment endpoints A=(7, 5), B=(6, 4). Is AB a diameter?", "im_path": "/images_full/task_11137_diameter.png", "im_dots_path": "/images/task_11137_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11138, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, -4], "A": [-2, -8], "B": [-2, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, -4), radius=1; segment endpoints A=(-2, -8), B=(-2, -7). Is AB a diameter?", "im_path": "/images_full/task_11138_diameter.png", "im_dots_path": "/images/task_11138_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11139, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, -3], "A": [1.6013845045686006, -5.939104740846229], "B": [0.3986154954313995, -0.06089525915377081]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, -3), radius=3; segment endpoints A=(1.6013845045686006, -5.939104740846229), B=(0.3986154954313995, -0.06089525915377081). Is AB a diameter?", "im_path": "/images_full/task_11139_diameter.png", "im_dots_path": "/images/task_11139_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11140, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [4, 1], "A": [4.74511286218277, 7.960230371374916], "B": [3.2548871378172297, -5.960230371374916]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(4, 1), radius=7; segment endpoints A=(4.74511286218277, 7.960230371374916), B=(3.2548871378172297, -5.960230371374916). Is AB a diameter?", "im_path": "/images_full/task_11140_diameter.png", "im_dots_path": "/images/task_11140_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11141, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 5], "A": [-8, 8], "B": [-10, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 5), radius=2; segment endpoints A=(-8, 8), B=(-10, 2). Is AB a diameter?", "im_path": "/images_full/task_11141_diameter.png", "im_dots_path": "/images/task_11141_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11142, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, 2], "A": [-10.439475963886387, -0.9418017239026644], "B": [4.439475963886388, 4.941801723902664]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, 2), radius=8; segment endpoints A=(-10.439475963886387, -0.9418017239026644), B=(4.439475963886388, 4.941801723902664). Is AB a diameter?", "im_path": "/images_full/task_11142_diameter.png", "im_dots_path": "/images/task_11142_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11143, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, -1], "A": [8, 5], "B": [-8, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, -1), radius=2; segment endpoints A=(8, 5), B=(-8, 4). Is AB a diameter?", "im_path": "/images_full/task_11143_diameter.png", "im_dots_path": "/images/task_11143_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11144, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, -4], "A": [-7, -3], "B": [3, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, -4), radius=1; segment endpoints A=(-7, -3), B=(3, 10). Is AB a diameter?", "im_path": "/images_full/task_11144_diameter.png", "im_dots_path": "/images/task_11144_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11145, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, 5], "A": [5, -5], "B": [-6, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, 5), radius=4; segment endpoints A=(5, -5), B=(-6, -8). Is AB a diameter?", "im_path": "/images_full/task_11145_diameter.png", "im_dots_path": "/images/task_11145_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11146, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 4], "A": [8.693561845278023, 1.8070325736841846], "B": [-6.6935618452780234, 6.192967426315816]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 4), radius=8; segment endpoints A=(8.693561845278023, 1.8070325736841846), B=(-6.6935618452780234, 6.192967426315816). Is AB a diameter?", "im_path": "/images_full/task_11146_diameter.png", "im_dots_path": "/images/task_11146_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11147, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, 0], "A": [-5, 4], "B": [-3, 0]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, 0), radius=6; segment endpoints A=(-5, 4), B=(-3, 0). Is AB a diameter?", "im_path": "/images_full/task_11147_diameter.png", "im_dots_path": "/images/task_11147_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11148, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [0, 5], "A": [-2, -1], "B": [-7, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(0, 5), radius=1; segment endpoints A=(-2, -1), B=(-7, 10). Is AB a diameter?", "im_path": "/images_full/task_11148_diameter.png", "im_dots_path": "/images/task_11148_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11149, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, 5], "A": [-3.0352469273913965, 5.373825311709964], "B": [-6.9647530726086035, 4.626174688290036]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, 5), radius=2; segment endpoints A=(-3.0352469273913965, 5.373825311709964), B=(-6.9647530726086035, 4.626174688290036). Is AB a diameter?", "im_path": "/images_full/task_11149_diameter.png", "im_dots_path": "/images/task_11149_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11150, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, -5], "A": [9, 1], "B": [-7, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, -5), radius=6; segment endpoints A=(9, 1), B=(-7, 10). Is AB a diameter?", "im_path": "/images_full/task_11150_diameter.png", "im_dots_path": "/images/task_11150_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11151, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 2], "A": [1.0318151628207621, 1.7497638694028927], "B": [2.968184837179238, 2.2502361305971075]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 2), radius=1; segment endpoints A=(1.0318151628207621, 1.7497638694028927), B=(2.968184837179238, 2.2502361305971075). Is AB a diameter?", "im_path": "/images_full/task_11151_diameter.png", "im_dots_path": "/images/task_11151_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11152, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, -2], "A": [0.057820457821187166, -8.72517201459874], "B": [3.942179542178813, 4.7251720145987415]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, -2), radius=7; segment endpoints A=(0.057820457821187166, -8.72517201459874), B=(3.942179542178813, 4.7251720145987415). Is AB a diameter?", "im_path": "/images_full/task_11152_diameter.png", "im_dots_path": "/images/task_11152_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11153, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, -2], "A": [5.603305522195814, -7.405811720556384], "B": [0.3966944778041852, 3.4058117205563843]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, -2), radius=6; segment endpoints A=(5.603305522195814, -7.405811720556384), B=(0.3966944778041852, 3.4058117205563843). Is AB a diameter?", "im_path": "/images_full/task_11153_diameter.png", "im_dots_path": "/images/task_11153_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11154, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 5], "A": [-7, 9], "B": [8, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 5), radius=4; segment endpoints A=(-7, 9), B=(8, 1). Is AB a diameter?", "im_path": "/images_full/task_11154_diameter.png", "im_dots_path": "/images/task_11154_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11155, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, -5], "A": [-0.43558190606327907, -10.825727816417768], "B": [2.435581906063279, 0.8257278164177668]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, -5), radius=6; segment endpoints A=(-0.43558190606327907, -10.825727816417768), B=(2.435581906063279, 0.8257278164177668). Is AB a diameter?", "im_path": "/images_full/task_11155_diameter.png", "im_dots_path": "/images/task_11155_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11156, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, 1], "A": [-1.4224618189467173, -0.7891955072338994], "B": [-8.577538181053283, 2.7891955072338996]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, 1), radius=4; segment endpoints A=(-1.4224618189467173, -0.7891955072338994), B=(-8.577538181053283, 2.7891955072338996). Is AB a diameter?", "im_path": "/images_full/task_11156_diameter.png", "im_dots_path": "/images/task_11156_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11157, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, -2], "A": [-4, 1], "B": [10, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, -2), radius=1; segment endpoints A=(-4, 1), B=(10, -7). Is AB a diameter?", "im_path": "/images_full/task_11157_diameter.png", "im_dots_path": "/images/task_11157_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11158, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, -2], "A": [-9, -3], "B": [-5, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, -2), radius=4; segment endpoints A=(-9, -3), B=(-5, 10). Is AB a diameter?", "im_path": "/images_full/task_11158_diameter.png", "im_dots_path": "/images/task_11158_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11159, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, -1], "A": [8, 2], "B": [10, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, -1), radius=4; segment endpoints A=(8, 2), B=(10, 3). Is AB a diameter?", "im_path": "/images_full/task_11159_diameter.png", "im_dots_path": "/images/task_11159_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11160, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, 0], "A": [5.546161747317526, 7.584000287216303], "B": [0.45383825268247424, -7.584000287216303]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, 0), radius=8; segment endpoints A=(5.546161747317526, 7.584000287216303), B=(0.45383825268247424, -7.584000287216303). Is AB a diameter?", "im_path": "/images_full/task_11160_diameter.png", "im_dots_path": "/images/task_11160_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11161, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [0, 1], "A": [9, -6], "B": [-3, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(0, 1), radius=1; segment endpoints A=(9, -6), B=(-3, 10). Is AB a diameter?", "im_path": "/images_full/task_11161_diameter.png", "im_dots_path": "/images/task_11161_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11162, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 5], "A": [-1.237267093293267, 3.0013414615630074], "B": [3.237267093293267, 6.998658538436993]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 5), radius=3; segment endpoints A=(-1.237267093293267, 3.0013414615630074), B=(3.237267093293267, 6.998658538436993). Is AB a diameter?", "im_path": "/images_full/task_11162_diameter.png", "im_dots_path": "/images/task_11162_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11163, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 0], "A": [5.090836446141704, -2.8749012454202156], "B": [-3.0908364461417044, 2.8749012454202156]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 0), radius=5; segment endpoints A=(5.090836446141704, -2.8749012454202156), B=(-3.0908364461417044, 2.8749012454202156). Is AB a diameter?", "im_path": "/images_full/task_11163_diameter.png", "im_dots_path": "/images/task_11163_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11164, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-1, -3], "A": [10, -5], "B": [0, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-1, -3), radius=2; segment endpoints A=(10, -5), B=(0, 7). Is AB a diameter?", "im_path": "/images_full/task_11164_diameter.png", "im_dots_path": "/images/task_11164_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11165, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [0, -3], "A": [5, -1], "B": [6, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(0, -3), radius=7; segment endpoints A=(5, -1), B=(6, -1). Is AB a diameter?", "im_path": "/images_full/task_11165_diameter.png", "im_dots_path": "/images/task_11165_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11166, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, 3], "A": [-6.424892478027463, -0.18117847188833913], "B": [-1.5751075219725368, 6.181178471888339]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, 3), radius=4; segment endpoints A=(-6.424892478027463, -0.18117847188833913), B=(-1.5751075219725368, 6.181178471888339). Is AB a diameter?", "im_path": "/images_full/task_11166_diameter.png", "im_dots_path": "/images/task_11166_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11167, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, -5], "A": [10, -3], "B": [0, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, -5), radius=1; segment endpoints A=(10, -3), B=(0, 7). Is AB a diameter?", "im_path": "/images_full/task_11167_diameter.png", "im_dots_path": "/images/task_11167_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11168, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 4], "A": [-4.7627701472940425, 7.973723723342703], "B": [6.7627701472940425, 0.026276276657296815]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 4), radius=7; segment endpoints A=(-4.7627701472940425, 7.973723723342703), B=(6.7627701472940425, 0.026276276657296815). Is AB a diameter?", "im_path": "/images_full/task_11168_diameter.png", "im_dots_path": "/images/task_11168_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11169, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 3], "A": [0, -9], "B": [2, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 3), radius=2; segment endpoints A=(0, -9), B=(2, -10). Is AB a diameter?", "im_path": "/images_full/task_11169_diameter.png", "im_dots_path": "/images/task_11169_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11170, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [4, -2], "A": [7, -3], "B": [-3, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(4, -2), radius=2; segment endpoints A=(7, -3), B=(-3, 8). Is AB a diameter?", "im_path": "/images_full/task_11170_diameter.png", "im_dots_path": "/images/task_11170_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11171, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, 0], "A": [-4.274843460266762, -3.79140793793217], "B": [-1.7251565397332382, 3.79140793793217]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, 0), radius=4; segment endpoints A=(-4.274843460266762, -3.79140793793217), B=(-1.7251565397332382, 3.79140793793217). Is AB a diameter?", "im_path": "/images_full/task_11171_diameter.png", "im_dots_path": "/images/task_11171_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11172, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, -2], "A": [1.020938981760818, -2.203566997729141], "B": [2.979061018239182, -1.796433002270859]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, -2), radius=1; segment endpoints A=(1.020938981760818, -2.203566997729141), B=(2.979061018239182, -1.796433002270859). Is AB a diameter?", "im_path": "/images_full/task_11172_diameter.png", "im_dots_path": "/images/task_11172_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11173, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, -4], "A": [-10, -10], "B": [1, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, -4), radius=8; segment endpoints A=(-10, -10), B=(1, 9). Is AB a diameter?", "im_path": "/images_full/task_11173_diameter.png", "im_dots_path": "/images/task_11173_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11174, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, 3], "A": [-6, -10], "B": [7, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, 3), radius=5; segment endpoints A=(-6, -10), B=(7, 10). Is AB a diameter?", "im_path": "/images_full/task_11174_diameter.png", "im_dots_path": "/images/task_11174_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11175, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-1, -1], "A": [-7, 4], "B": [-4, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-1, -1), radius=7; segment endpoints A=(-7, 4), B=(-4, 3). Is AB a diameter?", "im_path": "/images_full/task_11175_diameter.png", "im_dots_path": "/images/task_11175_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11176, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, 4], "A": [-2.0551168253787484, 3.001520087553], "B": [-1.9448831746212514, 4.998479912446999]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, 4), radius=1; segment endpoints A=(-2.0551168253787484, 3.001520087553), B=(-1.9448831746212514, 4.998479912446999). Is AB a diameter?", "im_path": "/images_full/task_11176_diameter.png", "im_dots_path": "/images/task_11176_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11177, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, 4], "A": [-7.263444819838835, 6.312991117118065], "B": [-0.7365551801611647, 1.6870088828819356]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, 4), radius=4; segment endpoints A=(-7.263444819838835, 6.312991117118065), B=(-0.7365551801611647, 1.6870088828819356). Is AB a diameter?", "im_path": "/images_full/task_11177_diameter.png", "im_dots_path": "/images/task_11177_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11178, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [4, -3], "A": [2.563091840866056, -8.82540083961733], "B": [5.436908159133944, 2.8254008396173305]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(4, -3), radius=6; segment endpoints A=(2.563091840866056, -8.82540083961733), B=(5.436908159133944, 2.8254008396173305). Is AB a diameter?", "im_path": "/images_full/task_11178_diameter.png", "im_dots_path": "/images/task_11178_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11179, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, -1], "A": [0.27655484441387435, -2.258112270234443], "B": [5.723445155586125, 0.25811227023444294]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, -1), radius=3; segment endpoints A=(0.27655484441387435, -2.258112270234443), B=(5.723445155586125, 0.25811227023444294). Is AB a diameter?", "im_path": "/images_full/task_11179_diameter.png", "im_dots_path": "/images/task_11179_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11180, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 3], "A": [-0.6655773103975506, 4.1071821092705845], "B": [2.6655773103975506, 1.8928178907294153]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 3), radius=2; segment endpoints A=(-0.6655773103975506, 4.1071821092705845), B=(2.6655773103975506, 1.8928178907294153). Is AB a diameter?", "im_path": "/images_full/task_11180_diameter.png", "im_dots_path": "/images/task_11180_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11181, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [4, -1], "A": [5, -7], "B": [-8, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(4, -1), radius=2; segment endpoints A=(5, -7), B=(-8, 7). Is AB a diameter?", "im_path": "/images_full/task_11181_diameter.png", "im_dots_path": "/images/task_11181_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11182, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, 4], "A": [10, -5], "B": [-7, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, 4), radius=8; segment endpoints A=(10, -5), B=(-7, 4). Is AB a diameter?", "im_path": "/images_full/task_11182_diameter.png", "im_dots_path": "/images/task_11182_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11183, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 1], "A": [-9, 8], "B": [10, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 1), radius=2; segment endpoints A=(-9, 8), B=(10, -4). Is AB a diameter?", "im_path": "/images_full/task_11183_diameter.png", "im_dots_path": "/images/task_11183_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11184, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, -3], "A": [6, -10], "B": [2, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, -3), radius=3; segment endpoints A=(6, -10), B=(2, 7). Is AB a diameter?", "im_path": "/images_full/task_11184_diameter.png", "im_dots_path": "/images/task_11184_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11185, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [4, 1], "A": [7, 5], "B": [-7, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(4, 1), radius=6; segment endpoints A=(7, 5), B=(-7, 10). Is AB a diameter?", "im_path": "/images_full/task_11185_diameter.png", "im_dots_path": "/images/task_11185_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11186, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, 1], "A": [9, 10], "B": [6, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, 1), radius=4; segment endpoints A=(9, 10), B=(6, -4). Is AB a diameter?", "im_path": "/images_full/task_11186_diameter.png", "im_dots_path": "/images/task_11186_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11187, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, -1], "A": [6, -6], "B": [-3, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, -1), radius=3; segment endpoints A=(6, -6), B=(-3, -9). Is AB a diameter?", "im_path": "/images_full/task_11187_diameter.png", "im_dots_path": "/images/task_11187_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11188, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, -2], "A": [-10, -8], "B": [-1, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, -2), radius=8; segment endpoints A=(-10, -8), B=(-1, 8). Is AB a diameter?", "im_path": "/images_full/task_11188_diameter.png", "im_dots_path": "/images/task_11188_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11189, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, -1], "A": [8.136601577076746, -3.482283333280001], "B": [1.8633984229232543, 1.4822833332800012]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, -1), radius=4; segment endpoints A=(8.136601577076746, -3.482283333280001), B=(1.8633984229232543, 1.4822833332800012). Is AB a diameter?", "im_path": "/images_full/task_11189_diameter.png", "im_dots_path": "/images/task_11189_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11190, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, 0], "A": [-7.853051122817442, -3.528157422695359], "B": [1.8530511228174422, 3.528157422695359]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, 0), radius=6; segment endpoints A=(-7.853051122817442, -3.528157422695359), B=(1.8530511228174422, 3.528157422695359). Is AB a diameter?", "im_path": "/images_full/task_11190_diameter.png", "im_dots_path": "/images/task_11190_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11191, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [0, -3], "A": [-0.9609953750903167, -3.276564439245217], "B": [0.9609953750903167, -2.723435560754783]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(0, -3), radius=1; segment endpoints A=(-0.9609953750903167, -3.276564439245217), B=(0.9609953750903167, -2.723435560754783). Is AB a diameter?", "im_path": "/images_full/task_11191_diameter.png", "im_dots_path": "/images/task_11191_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11192, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 4], "A": [7.1545493538205855, -0.7360976509176611], "B": [-3.1545493538205855, 8.73609765091766]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 4), radius=7; segment endpoints A=(7.1545493538205855, -0.7360976509176611), B=(-3.1545493538205855, 8.73609765091766). Is AB a diameter?", "im_path": "/images_full/task_11192_diameter.png", "im_dots_path": "/images/task_11192_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |
| {"qid": 11193, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, 1], "A": [-3, 8], "B": [6, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, 1), radius=1; segment endpoints A=(-3, 8), B=(6, -1). Is AB a diameter?", "im_path": "/images_full/task_11193_diameter.png", "im_dots_path": "/images/task_11193_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11194, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, -1], "A": [-8, 6], "B": [4, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, -1), radius=7; segment endpoints A=(-8, 6), B=(4, 1). Is AB a diameter?", "im_path": "/images_full/task_11194_diameter.png", "im_dots_path": "/images/task_11194_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11195, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, -2], "A": [-6, -9], "B": [-2, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, -2), radius=5; segment endpoints A=(-6, -9), B=(-2, 10). Is AB a diameter?", "im_path": "/images_full/task_11195_diameter.png", "im_dots_path": "/images/task_11195_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11196, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, 4], "A": [-1, 9], "B": [-6, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, 4), radius=2; segment endpoints A=(-1, 9), B=(-6, 1). Is AB a diameter?", "im_path": "/images_full/task_11196_diameter.png", "im_dots_path": "/images/task_11196_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11197, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, -5], "A": [4, -1], "B": [-2, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, -5), radius=5; segment endpoints A=(4, -1), B=(-2, -8). Is AB a diameter?", "im_path": "/images_full/task_11197_diameter.png", "im_dots_path": "/images/task_11197_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11198, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, 2], "A": [-7, 8], "B": [1, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, 2), radius=4; segment endpoints A=(-7, 8), B=(1, -1). Is AB a diameter?", "im_path": "/images_full/task_11198_diameter.png", "im_dots_path": "/images/task_11198_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"} | |
| {"qid": 11199, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, -3], "A": [-2.731458306121435, -3.9632680616779687], "B": [-3.268541693878565, -2.0367319383220313]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, -3), radius=1; segment endpoints A=(-2.731458306121435, -3.9632680616779687), B=(-3.268541693878565, -2.0367319383220313). Is AB a diameter?", "im_path": "/images_full/task_11199_diameter.png", "im_dots_path": "/images/task_11199_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"} | |