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{"qid": 12100, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -9], "B": [-5, -3], "C": [-6, -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": "Points A=(10, -9), B=(-5, -3), C=(-6, -7). Is \u2220ABC right?", "im_path": "/images_full/task_12100_right_angle.png", "im_dots_path": "/images/task_12100_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12101, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -10], "B": [-1, -1], "C": [1, 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": "Points A=(0, -10), B=(-1, -1), C=(1, 0). Is \u2220ABC right?", "im_path": "/images_full/task_12101_right_angle.png", "im_dots_path": "/images/task_12101_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12102, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, -3], "B": [5, -8], "C": [-7, 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": "Points A=(-5, -3), B=(5, -8), C=(-7, 9). Is \u2220ABC right?", "im_path": "/images_full/task_12102_right_angle.png", "im_dots_path": "/images/task_12102_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12103, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, -3], "B": [2, 9], "C": [-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": "Points A=(-5, -3), B=(2, 9), C=(-6, -1). Is \u2220ABC right?", "im_path": "/images_full/task_12103_right_angle.png", "im_dots_path": "/images/task_12103_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12104, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, -7], "B": [5, 1], "C": [-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": "Points A=(1, -7), B=(5, 1), C=(-4, 5). Is \u2220ABC right?", "im_path": "/images_full/task_12104_right_angle.png", "im_dots_path": "/images/task_12104_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12105, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 3], "B": [0, 7], "C": [-1, 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": "Points A=(4, 3), B=(0, 7), C=(-1, 5). Is \u2220ABC right?", "im_path": "/images_full/task_12105_right_angle.png", "im_dots_path": "/images/task_12105_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12106, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -4], "B": [-8, 1], "C": [0, -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": "Points A=(-4, -4), B=(-8, 1), C=(0, -3). Is \u2220ABC right?", "im_path": "/images_full/task_12106_right_angle.png", "im_dots_path": "/images/task_12106_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12107, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, -8], "B": [5, 7], "C": [-4, 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": "Points A=(-7, -8), B=(5, 7), C=(-4, 8). Is \u2220ABC right?", "im_path": "/images_full/task_12107_right_angle.png", "im_dots_path": "/images/task_12107_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12108, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 2], "B": [5, 0], "C": [3, 5]}, "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": "Points A=(10, 2), B=(5, 0), C=(3, 5). Is \u2220ABC right?", "im_path": "/images_full/task_12108_right_angle.png", "im_dots_path": "/images/task_12108_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12109, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 6], "B": [5, 4], "C": [3, 8]}, "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": "Points A=(9, 6), B=(5, 4), C=(3, 8). Is \u2220ABC right?", "im_path": "/images_full/task_12109_right_angle.png", "im_dots_path": "/images/task_12109_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12110, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -3], "B": [-5, -9], "C": [1, 6]}, "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": "Points A=(7, -3), B=(-5, -9), C=(1, 6). Is \u2220ABC right?", "im_path": "/images_full/task_12110_right_angle.png", "im_dots_path": "/images/task_12110_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12111, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -9], "B": [7, 1], "C": [7, 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": "Points A=(-10, -9), B=(7, 1), C=(7, 3). Is \u2220ABC right?", "im_path": "/images_full/task_12111_right_angle.png", "im_dots_path": "/images/task_12111_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12112, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, 5], "B": [4, 0], "C": [-1, 2]}, "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": "Points A=(6, 5), B=(4, 0), C=(-1, 2). Is \u2220ABC right?", "im_path": "/images_full/task_12112_right_angle.png", "im_dots_path": "/images/task_12112_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12113, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 7], "B": [-9, 6], "C": [9, -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": "Points A=(0, 7), B=(-9, 6), C=(9, -1). Is \u2220ABC right?", "im_path": "/images_full/task_12113_right_angle.png", "im_dots_path": "/images/task_12113_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12114, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, -8], "B": [-7, -6], "C": [-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": "Points A=(-7, -8), B=(-7, -6), C=(-10, 7). Is \u2220ABC right?", "im_path": "/images_full/task_12114_right_angle.png", "im_dots_path": "/images/task_12114_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12115, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [11, 13], "B": [4, 7], "C": [-2, 14]}, "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": "Points A=(11, 13), B=(4, 7), C=(-2, 14). Is \u2220ABC right?", "im_path": "/images_full/task_12115_right_angle.png", "im_dots_path": "/images/task_12115_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12116, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, 3], "B": [3, 1], "C": [6, 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": "Points A=(7, 3), B=(3, 1), C=(6, 2). Is \u2220ABC right?", "im_path": "/images_full/task_12116_right_angle.png", "im_dots_path": "/images/task_12116_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12117, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, -8], "B": [-2, -5], "C": [-9, -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": "Points A=(5, -8), B=(-2, -5), C=(-9, -8). Is \u2220ABC right?", "im_path": "/images_full/task_12117_right_angle.png", "im_dots_path": "/images/task_12117_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12118, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 1], "B": [-4, -6], "C": [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": "Points A=(2, 1), B=(-4, -6), C=(8, -7). Is \u2220ABC right?", "im_path": "/images_full/task_12118_right_angle.png", "im_dots_path": "/images/task_12118_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12119, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, -6], "B": [2, -1], "C": [-6, -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": "Points A=(-9, -6), B=(2, -1), C=(-6, -2). Is \u2220ABC right?", "im_path": "/images_full/task_12119_right_angle.png", "im_dots_path": "/images/task_12119_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12120, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, 8], "B": [0, 10], "C": [-5, -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": "Points A=(-5, 8), B=(0, 10), C=(-5, -1). Is \u2220ABC right?", "im_path": "/images_full/task_12120_right_angle.png", "im_dots_path": "/images/task_12120_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12121, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 6], "B": [-6, 9], "C": [7, -6]}, "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": "Points A=(-8, 6), B=(-6, 9), C=(7, -6). Is \u2220ABC right?", "im_path": "/images_full/task_12121_right_angle.png", "im_dots_path": "/images/task_12121_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12122, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 4], "B": [-10, 2], "C": [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": "Points A=(0, 4), B=(-10, 2), C=(10, -3). Is \u2220ABC right?", "im_path": "/images_full/task_12122_right_angle.png", "im_dots_path": "/images/task_12122_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12123, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 13], "B": [0, 3], "C": [-10, 6]}, "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": "Points A=(3, 13), B=(0, 3), C=(-10, 6). Is \u2220ABC right?", "im_path": "/images_full/task_12123_right_angle.png", "im_dots_path": "/images/task_12123_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12124, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 8], "B": [0, -1], "C": [-9, 0]}, "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": "Points A=(1, 8), B=(0, -1), C=(-9, 0). Is \u2220ABC right?", "im_path": "/images_full/task_12124_right_angle.png", "im_dots_path": "/images/task_12124_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12125, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 8], "B": [-6, -8], "C": [1, -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": "Points A=(3, 8), B=(-6, -8), C=(1, -2). Is \u2220ABC right?", "im_path": "/images_full/task_12125_right_angle.png", "im_dots_path": "/images/task_12125_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12126, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -1], "B": [4, -2], "C": [-3, -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": "Points A=(-4, -1), B=(4, -2), C=(-3, -4). Is \u2220ABC right?", "im_path": "/images_full/task_12126_right_angle.png", "im_dots_path": "/images/task_12126_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12127, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -8], "B": [6, -9], "C": [5, -5]}, "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": "Points A=(10, -8), B=(6, -9), C=(5, -5). Is \u2220ABC right?", "im_path": "/images_full/task_12127_right_angle.png", "im_dots_path": "/images/task_12127_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12128, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -6], "B": [-7, 1], "C": [-7, -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": "Points A=(-4, -6), B=(-7, 1), C=(-7, -8). Is \u2220ABC right?", "im_path": "/images_full/task_12128_right_angle.png", "im_dots_path": "/images/task_12128_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12129, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, -6], "B": [-8, -4], "C": [9, -6]}, "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": "Points A=(-3, -6), B=(-8, -4), C=(9, -6). Is \u2220ABC right?", "im_path": "/images_full/task_12129_right_angle.png", "im_dots_path": "/images/task_12129_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12130, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 3], "B": [7, -5], "C": [-1, -3]}, "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": "Points A=(9, 3), B=(7, -5), C=(-1, -3). Is \u2220ABC right?", "im_path": "/images_full/task_12130_right_angle.png", "im_dots_path": "/images/task_12130_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12131, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 2], "B": [-2, -5], "C": [-9, -1]}, "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": "Points A=(2, 2), B=(-2, -5), C=(-9, -1). Is \u2220ABC right?", "im_path": "/images_full/task_12131_right_angle.png", "im_dots_path": "/images/task_12131_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12132, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 3], "B": [1, 2], "C": [0, 5]}, "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": "Points A=(4, 3), B=(1, 2), C=(0, 5). Is \u2220ABC right?", "im_path": "/images_full/task_12132_right_angle.png", "im_dots_path": "/images/task_12132_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12133, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 10], "B": [-9, 1], "C": [-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": "Points A=(0, 10), B=(-9, 1), C=(-10, 3). Is \u2220ABC right?", "im_path": "/images_full/task_12133_right_angle.png", "im_dots_path": "/images/task_12133_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12134, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 4], "B": [-9, 2], "C": [-11, 3]}, "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": "Points A=(-8, 4), B=(-9, 2), C=(-11, 3). Is \u2220ABC right?", "im_path": "/images_full/task_12134_right_angle.png", "im_dots_path": "/images/task_12134_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12135, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, -7], "B": [-1, 9], "C": [6, 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": "Points A=(6, -7), B=(-1, 9), C=(6, 7). Is \u2220ABC right?", "im_path": "/images_full/task_12135_right_angle.png", "im_dots_path": "/images/task_12135_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12136, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -3], "B": [1, 3], "C": [-9, -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": "Points A=(-10, -3), B=(1, 3), C=(-9, -1). Is \u2220ABC right?", "im_path": "/images_full/task_12136_right_angle.png", "im_dots_path": "/images/task_12136_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12137, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -7], "B": [-6, 7], "C": [5, 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": "Points A=(-8, -7), B=(-6, 7), C=(5, 8). Is \u2220ABC right?", "im_path": "/images_full/task_12137_right_angle.png", "im_dots_path": "/images/task_12137_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12138, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 8], "B": [-1, 7], "C": [3, -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": "Points A=(10, 8), B=(-1, 7), C=(3, -5). Is \u2220ABC right?", "im_path": "/images_full/task_12138_right_angle.png", "im_dots_path": "/images/task_12138_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12139, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 12], "B": [-5, 7], "C": [-10, 17]}, "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": "Points A=(5, 12), B=(-5, 7), C=(-10, 17). Is \u2220ABC right?", "im_path": "/images_full/task_12139_right_angle.png", "im_dots_path": "/images/task_12139_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12140, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -2], "B": [-8, 0], "C": [5, -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": "Points A=(0, -2), B=(-8, 0), C=(5, -4). Is \u2220ABC right?", "im_path": "/images_full/task_12140_right_angle.png", "im_dots_path": "/images/task_12140_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12141, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 20], "B": [-10, 10], "C": [-20, 20]}, "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": "Points A=(0, 20), B=(-10, 10), C=(-20, 20). Is \u2220ABC right?", "im_path": "/images_full/task_12141_right_angle.png", "im_dots_path": "/images/task_12141_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12142, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 11], "B": [-9, 2], "C": [-18, 4]}, "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": "Points A=(-7, 11), B=(-9, 2), C=(-18, 4). Is \u2220ABC right?", "im_path": "/images_full/task_12142_right_angle.png", "im_dots_path": "/images/task_12142_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12143, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 3], "B": [-9, -1], "C": [-13, 8]}, "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": "Points A=(0, 3), B=(-9, -1), C=(-13, 8). Is \u2220ABC right?", "im_path": "/images_full/task_12143_right_angle.png", "im_dots_path": "/images/task_12143_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12144, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, 9], "B": [-6, -10], "C": [2, 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": "Points A=(-9, 9), B=(-6, -10), C=(2, 9). Is \u2220ABC right?", "im_path": "/images_full/task_12144_right_angle.png", "im_dots_path": "/images/task_12144_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12145, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 0], "B": [9, 2], "C": [-2, -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": "Points A=(-8, 0), B=(9, 2), C=(-2, -9). Is \u2220ABC right?", "im_path": "/images_full/task_12145_right_angle.png", "im_dots_path": "/images/task_12145_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12146, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 10], "B": [2, 6], "C": [-2, 13]}, "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": "Points A=(9, 10), B=(2, 6), C=(-2, 13). Is \u2220ABC right?", "im_path": "/images_full/task_12146_right_angle.png", "im_dots_path": "/images/task_12146_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12147, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -7], "B": [-1, 7], "C": [-10, -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": "Points A=(-6, -7), B=(-1, 7), C=(-10, -8). Is \u2220ABC right?", "im_path": "/images_full/task_12147_right_angle.png", "im_dots_path": "/images/task_12147_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12148, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -9], "B": [-7, -4], "C": [-5, 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": "Points A=(-6, -9), B=(-7, -4), C=(-5, 2). Is \u2220ABC right?", "im_path": "/images_full/task_12148_right_angle.png", "im_dots_path": "/images/task_12148_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12149, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 2], "B": [4, -9], "C": [1, 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": "Points A=(2, 2), B=(4, -9), C=(1, 5). Is \u2220ABC right?", "im_path": "/images_full/task_12149_right_angle.png", "im_dots_path": "/images/task_12149_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12150, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, -8], "B": [1, -4], "C": [8, 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": "Points A=(8, -8), B=(1, -4), C=(8, 10). Is \u2220ABC right?", "im_path": "/images_full/task_12150_right_angle.png", "im_dots_path": "/images/task_12150_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12151, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -9], "B": [1, -8], "C": [10, -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": "Points A=(-1, -9), B=(1, -8), C=(10, -10). Is \u2220ABC right?", "im_path": "/images_full/task_12151_right_angle.png", "im_dots_path": "/images/task_12151_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12152, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 0], "B": [-3, -6], "C": [-9, 1]}, "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": "Points A=(4, 0), B=(-3, -6), C=(-9, 1). Is \u2220ABC right?", "im_path": "/images_full/task_12152_right_angle.png", "im_dots_path": "/images/task_12152_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12153, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [17, 15], "B": [9, 9], "C": [3, 17]}, "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": "Points A=(17, 15), B=(9, 9), C=(3, 17). Is \u2220ABC right?", "im_path": "/images_full/task_12153_right_angle.png", "im_dots_path": "/images/task_12153_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12154, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 2], "B": [-8, 3], "C": [-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": "Points A=(-7, 2), B=(-8, 3), C=(-10, 7). Is \u2220ABC right?", "im_path": "/images_full/task_12154_right_angle.png", "im_dots_path": "/images/task_12154_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12155, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, -3], "B": [-6, -8], "C": [-11, -7]}, "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": "Points A=(-5, -3), B=(-6, -8), C=(-11, -7). Is \u2220ABC right?", "im_path": "/images_full/task_12155_right_angle.png", "im_dots_path": "/images/task_12155_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12156, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 10], "B": [8, 9], "C": [7, 11]}, "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": "Points A=(10, 10), B=(8, 9), C=(7, 11). Is \u2220ABC right?", "im_path": "/images_full/task_12156_right_angle.png", "im_dots_path": "/images/task_12156_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12157, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 0], "B": [-1, 10], "C": [-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": "Points A=(-7, 0), B=(-1, 10), C=(-8, -4). Is \u2220ABC right?", "im_path": "/images_full/task_12157_right_angle.png", "im_dots_path": "/images/task_12157_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12158, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 13], "B": [3, 7], "C": [-3, 9]}, "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": "Points A=(5, 13), B=(3, 7), C=(-3, 9). Is \u2220ABC right?", "im_path": "/images_full/task_12158_right_angle.png", "im_dots_path": "/images/task_12158_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12159, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, -4], "B": [3, 6], "C": [-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": "Points A=(-9, -4), B=(3, 6), C=(-7, 7). Is \u2220ABC right?", "im_path": "/images_full/task_12159_right_angle.png", "im_dots_path": "/images/task_12159_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12160, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [11, 2], "B": [3, -3], "C": [-2, 5]}, "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": "Points A=(11, 2), B=(3, -3), C=(-2, 5). Is \u2220ABC right?", "im_path": "/images_full/task_12160_right_angle.png", "im_dots_path": "/images/task_12160_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12161, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 2], "B": [5, -7], "C": [-4, -4]}, "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": "Points A=(8, 2), B=(5, -7), C=(-4, -4). Is \u2220ABC right?", "im_path": "/images_full/task_12161_right_angle.png", "im_dots_path": "/images/task_12161_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12162, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 10], "B": [3, 6], "C": [-1, 11]}, "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": "Points A=(8, 10), B=(3, 6), C=(-1, 11). Is \u2220ABC right?", "im_path": "/images_full/task_12162_right_angle.png", "im_dots_path": "/images/task_12162_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12163, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, 2], "B": [-4, -7], "C": [-13, 3]}, "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": "Points A=(6, 2), B=(-4, -7), C=(-13, 3). Is \u2220ABC right?", "im_path": "/images_full/task_12163_right_angle.png", "im_dots_path": "/images/task_12163_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12164, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, -4], "B": [-9, -2], "C": [2, 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": "Points A=(1, -4), B=(-9, -2), C=(2, 9). Is \u2220ABC right?", "im_path": "/images_full/task_12164_right_angle.png", "im_dots_path": "/images/task_12164_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12165, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [20, 0], "B": [10, -3], "C": [7, 7]}, "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": "Points A=(20, 0), B=(10, -3), C=(7, 7). Is \u2220ABC right?", "im_path": "/images_full/task_12165_right_angle.png", "im_dots_path": "/images/task_12165_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12166, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, 11], "B": [-2, 4], "C": [-9, 12]}, "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": "Points A=(6, 11), B=(-2, 4), C=(-9, 12). Is \u2220ABC right?", "im_path": "/images_full/task_12166_right_angle.png", "im_dots_path": "/images/task_12166_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12167, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 0], "B": [5, -3], "C": [-7, 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": "Points A=(0, 0), B=(5, -3), C=(-7, 1). Is \u2220ABC right?", "im_path": "/images_full/task_12167_right_angle.png", "im_dots_path": "/images/task_12167_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12168, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 7], "B": [-6, 1], "C": [-12, 7]}, "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": "Points A=(0, 7), B=(-6, 1), C=(-12, 7). Is \u2220ABC right?", "im_path": "/images_full/task_12168_right_angle.png", "im_dots_path": "/images/task_12168_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12169, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 4], "B": [-7, -3], "C": [-14, 6]}, "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": "Points A=(2, 4), B=(-7, -3), C=(-14, 6). Is \u2220ABC right?", "im_path": "/images_full/task_12169_right_angle.png", "im_dots_path": "/images/task_12169_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12170, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 13], "B": [-2, 9], "C": [-6, 16]}, "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": "Points A=(5, 13), B=(-2, 9), C=(-6, 16). Is \u2220ABC right?", "im_path": "/images_full/task_12170_right_angle.png", "im_dots_path": "/images/task_12170_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12171, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 0], "B": [9, 2], "C": [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": "Points A=(8, 0), B=(9, 2), C=(1, 1). Is \u2220ABC right?", "im_path": "/images_full/task_12171_right_angle.png", "im_dots_path": "/images/task_12171_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12172, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 5], "B": [3, 1], "C": [-1, 8]}, "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": "Points A=(10, 5), B=(3, 1), C=(-1, 8). Is \u2220ABC right?", "im_path": "/images_full/task_12172_right_angle.png", "im_dots_path": "/images/task_12172_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12173, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, 1], "B": [6, -9], "C": [-9, 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": "Points A=(-5, 1), B=(6, -9), C=(-9, 8). Is \u2220ABC right?", "im_path": "/images_full/task_12173_right_angle.png", "im_dots_path": "/images/task_12173_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12174, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -7], "B": [-6, 1], "C": [9, 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": "Points A=(-4, -7), B=(-6, 1), C=(9, 8). Is \u2220ABC right?", "im_path": "/images_full/task_12174_right_angle.png", "im_dots_path": "/images/task_12174_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12175, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -2], "B": [7, -8], "C": [-1, 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": "Points A=(0, -2), B=(7, -8), C=(-1, 0). Is \u2220ABC right?", "im_path": "/images_full/task_12175_right_angle.png", "im_dots_path": "/images/task_12175_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12176, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, -5], "B": [-8, -10], "C": [-13, -9]}, "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": "Points A=(-7, -5), B=(-8, -10), C=(-13, -9). Is \u2220ABC right?", "im_path": "/images_full/task_12176_right_angle.png", "im_dots_path": "/images/task_12176_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12177, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, -4], "B": [-4, -6], "C": [-6, 0]}, "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": "Points A=(2, -4), B=(-4, -6), C=(-6, 0). Is \u2220ABC right?", "im_path": "/images_full/task_12177_right_angle.png", "im_dots_path": "/images/task_12177_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12178, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 13], "B": [4, 7], "C": [-2, 12]}, "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": "Points A=(9, 13), B=(4, 7), C=(-2, 12). Is \u2220ABC right?", "im_path": "/images_full/task_12178_right_angle.png", "im_dots_path": "/images/task_12178_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12179, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -10], "B": [-2, -2], "C": [6, -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": "Points A=(-1, -10), B=(-2, -2), C=(6, -2). Is \u2220ABC right?", "im_path": "/images_full/task_12179_right_angle.png", "im_dots_path": "/images/task_12179_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12180, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 8], "B": [-4, 6], "C": [-6, 11]}, "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": "Points A=(1, 8), B=(-4, 6), C=(-6, 11). Is \u2220ABC right?", "im_path": "/images_full/task_12180_right_angle.png", "im_dots_path": "/images/task_12180_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12181, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 11], "B": [-2, 7], "C": [-6, 11]}, "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": "Points A=(2, 11), B=(-2, 7), C=(-6, 11). Is \u2220ABC right?", "im_path": "/images_full/task_12181_right_angle.png", "im_dots_path": "/images/task_12181_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12182, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, 1], "B": [-5, -4], "C": [-10, -3]}, "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": "Points A=(-4, 1), B=(-5, -4), C=(-10, -3). Is \u2220ABC right?", "im_path": "/images_full/task_12182_right_angle.png", "im_dots_path": "/images/task_12182_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12183, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, 4], "B": [-3, 0], "C": [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": "Points A=(-9, 4), B=(-3, 0), C=(7, 10). Is \u2220ABC right?", "im_path": "/images_full/task_12183_right_angle.png", "im_dots_path": "/images/task_12183_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12184, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -2], "B": [9, 1], "C": [8, -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": "Points A=(-10, -2), B=(9, 1), C=(8, -10). Is \u2220ABC right?", "im_path": "/images_full/task_12184_right_angle.png", "im_dots_path": "/images/task_12184_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12185, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 1], "B": [0, -8], "C": [-4, -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": "Points A=(-1, 1), B=(0, -8), C=(-4, -9). Is \u2220ABC right?", "im_path": "/images_full/task_12185_right_angle.png", "im_dots_path": "/images/task_12185_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12186, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, -5], "B": [-10, 7], "C": [-6, -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": "Points A=(2, -5), B=(-10, 7), C=(-6, -3). Is \u2220ABC right?", "im_path": "/images_full/task_12186_right_angle.png", "im_dots_path": "/images/task_12186_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12187, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, 19], "B": [6, 9], "C": [-4, 10]}, "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": "Points A=(7, 19), B=(6, 9), C=(-4, 10). Is \u2220ABC right?", "im_path": "/images_full/task_12187_right_angle.png", "im_dots_path": "/images/task_12187_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12188, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 7], "B": [-5, 5], "C": [-7, 14]}, "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": "Points A=(4, 7), B=(-5, 5), C=(-7, 14). Is \u2220ABC right?", "im_path": "/images_full/task_12188_right_angle.png", "im_dots_path": "/images/task_12188_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12189, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [11, 12], "B": [9, 9], "C": [6, 11]}, "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": "Points A=(11, 12), B=(9, 9), C=(6, 11). Is \u2220ABC right?", "im_path": "/images_full/task_12189_right_angle.png", "im_dots_path": "/images/task_12189_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12190, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [14, 0], "B": [8, -8], "C": [0, -2]}, "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": "Points A=(14, 0), B=(8, -8), C=(0, -2). Is \u2220ABC right?", "im_path": "/images_full/task_12190_right_angle.png", "im_dots_path": "/images/task_12190_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12191, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 9], "B": [-2, -9], "C": [-2, 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": "Points A=(0, 9), B=(-2, -9), C=(-2, 2). Is \u2220ABC right?", "im_path": "/images_full/task_12191_right_angle.png", "im_dots_path": "/images/task_12191_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12192, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -8], "B": [-4, -4], "C": [9, 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": "Points A=(-10, -8), B=(-4, -4), C=(9, 9). Is \u2220ABC right?", "im_path": "/images_full/task_12192_right_angle.png", "im_dots_path": "/images/task_12192_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12193, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 8], "B": [1, 6], "C": [-1, 14]}, "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": "Points A=(9, 8), B=(1, 6), C=(-1, 14). Is \u2220ABC right?", "im_path": "/images_full/task_12193_right_angle.png", "im_dots_path": "/images/task_12193_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12194, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 3], "B": [-1, -6], "C": [-10, -1]}, "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": "Points A=(4, 3), B=(-1, -6), C=(-10, -1). Is \u2220ABC right?", "im_path": "/images_full/task_12194_right_angle.png", "im_dots_path": "/images/task_12194_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12195, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 8], "B": [2, 8], "C": [-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": "Points A=(-7, 8), B=(2, 8), C=(-8, -7). Is \u2220ABC right?", "im_path": "/images_full/task_12195_right_angle.png", "im_dots_path": "/images/task_12195_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12196, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, 5], "B": [-9, 8], "C": [6, -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": "Points A=(-2, 5), B=(-9, 8), C=(6, -9). Is \u2220ABC right?", "im_path": "/images_full/task_12196_right_angle.png", "im_dots_path": "/images/task_12196_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12197, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 9], "B": [-1, 10], "C": [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": "Points A=(3, 9), B=(-1, 10), C=(2, -3). Is \u2220ABC right?", "im_path": "/images_full/task_12197_right_angle.png", "im_dots_path": "/images/task_12197_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
{"qid": 12198, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, 3], "B": [-7, -4], "C": [-14, 1]}, "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": "Points A=(-2, 3), B=(-7, -4), C=(-14, 1). Is \u2220ABC right?", "im_path": "/images_full/task_12198_right_angle.png", "im_dots_path": "/images/task_12198_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
{"qid": 12199, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 4], "B": [4, -1], "C": [-1, 5]}, "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": "Points A=(10, 4), B=(4, -1), C=(-1, 5). Is \u2220ABC right?", "im_path": "/images_full/task_12199_right_angle.png", "im_dots_path": "/images/task_12199_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}