Question

KPQ~KLM. Which statement about similar triangles and Titian’s of corresponding sides of similar triangles is always correct?

A) The corresponding sides of similar triangles are always proportional.
B) The corresponding angles of similar triangles are always congruent.
C) The corresponding sides of similar triangles are always congruent.
D) The corresponding angles of similar triangles are always proportional.

Answer 1

The corresponding sides of similar triangles are always proportional.

Step-by-step explanation:

In similar triangles, the corresponding sides are always proportional. This means that if you take the ratio of the lengths of corresponding sides in two similar triangles, the result will be the same for all pairs of corresponding sides.

For example, if the ratio of the lengths of corresponding sides in triangle KPQ and triangle KLM is 2:5, then the ratio of the lengths of their other corresponding sides will also be 2:5. Therefore, option A) The corresponding sides of similar triangles are always proportional is always correct.