Subjects geometry

Triangle Similarity B91A3F

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1. The problem asks which triangle among A, B, C, D, E, and F is similar to triangle T. 2. Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion. 3. Triangle T is a right triangle with a horizontal base and a vertical side, so it has a right angle and the other two angles are complementary. 4. We look for a triangle among A, B, C, D, E, and F that also has a right angle and the same orientation of sides (horizontal base and vertical side) to match the angles and side ratios. 5. Triangle A is a larger right triangle with the right angle at bottom-left, matching the orientation of triangle T. 6. Triangles B, C, D, E, and F have different orientations or shapes that do not match triangle T's angle arrangement and side orientation. 7. Therefore, triangle A is similar to triangle T because it has the same angle measures and proportional sides with the same orientation. Final answer: Triangle A is similar to triangle T.