Question

The triangles below are similar.

Which similarity statement expresses the relationship between the two triangles?

A. ΔZXY≈ΔCAB
B. ΔZXY≈ΔACB
C. ΔZXY≈ΔCBA
D. ΔZXY≈ΔABC

Answer 1

we know that

the scale factor is equal to 2
so
CB≈ZY
BA≈YX
CA≈ZX

therefore
Δ ZXY≈ΔCAB

the answer is the option
A. ΔZXY≈ΔCAB

Answer 2

A. ΔZXY≈ΔCAB

Explanation:

In the smaller triangle, YZ is the smallest side. In the larger triangle, BC is the smallest side. This means that YZ corresponds to BC.

In the smaller triangle, YX is the "medium sized" side. In the larger triangle, BA is the "medium sized" side. This means that YX corresponds to BA.

In the smaller triangle, ZX is the longest side. In the larger triangle, CA is the longest side. This means that ZX corresponds to CA.

This gives us that Z corresponds to C, X corresponds to A and Y corresponds to B. This gives us the similarity statement

ZXY~CAB