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With similar triangles, the ratios of all three pairs of corresponding sides are equal. A. True B. False

Ask by Martin Patel. in the United States
Mar 17,2025

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The statement is true.

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The statement is: "With similar triangles, the ratios of all three pairs of corresponding sides are equal." This statement is **A. True**. In similar triangles, the corresponding sides are in proportion, meaning that the ratio of the lengths of one pair of corresponding sides is equal to the ratio of the lengths of the other pairs of corresponding sides. This property is fundamental to the concept of similarity in geometry.

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A. True! Similar triangles are like the best friends of geometry because they maintain the same shape but can vary in size. This means that the ratios of their corresponding sides are equal! So, if you have one triangle that’s half the size of another, all three pairs of corresponding side lengths will reflect that perfect relationship—keeping the proportions intact. Now, let’s say you have a triangle with side lengths of 3, 4, and 5. If you find another triangle with side lengths of 6, 8, and 10, congratulations! You’ve just discovered a pair of similar triangles. Their side length ratios (3:6, 4:8, and 5:10) simplify down to the same value (1:2), proving their similarity. Geometry at its finest!

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