Question

Which triangle similarity postulate can be used to prove that triangle XYZ is similar to triangle ABC?

Answer 1

Answer
SSS Similarity Postulate

hope it helps

Answer 2

Answer: SSS similarity postulate

Step-by-step explanation:

The SSS similarity postulate says that if the lengths of the corresponding sides of two triangles are proportional then the triangles must be similar.

In the given figure , we have two triangles ΔABC and ΔXYZ such that the corresponding sides of both the triangles are proportional.

i.e. $\dfrac{AB}{XY}=\dfrac{BC}{YZ}=\dfrac{AC}{XZ}$

Then by SSS-similarity criteria , we have

ΔABC ≈ ΔXYZ