Question

With similar triangles, the ratios of all three pairs of corresponding sides are never equal. true or false?

Answer 1

False

Explanation:

The given statement that the ratios of all three pairs of corresponding sides are never equal is false as the corresponding sides do form a proportion if the triangles are similar.

Let us consider two triangles ABC and JKL, and if these two triangles are similar then,

`(AB)/(JK)=(BC)/(KL)=(AC)/(JL)` that is the proportion will always be formed by the two similar triangles.

Hence, the given statement is false.

Answer 2

This is false.

The definition of similar triangles is triangles that have the same angle measurements, whose ratio of corresponding sides is the same.