Question

Triangle KLM is similar to Triangle RST.

The following statement is a proportionality statement for the ratio of the sides of the triangles.

KL/RS=LM/ST=KM/RT

True or False?

Answer 1

Answer: true

Explanation:

since the triangles are similar the sides are proportional

Answer 2

True.

Explanation:

When we demonstrate a similarity, we deduct corresponding congruences and proportions.

It's important to know that similarities are about proportional sides, but congruent angles.

So, if ΔKLM is similar to ΔRST, that means corresponding sides are proportional, which pairs of sides are corresponding? Well,

• KL and RS.
• LM and ST.

• KM and RT.

SO, the proportional relation is

`(KL)/(RS)=(LM)/(ST)=(KM)/(RT)`

You can see this corresponding side in the image, KL is at the same position than RS, this also apply for LM and ST, KM and RT.

Therefore, the given statement is true.