Question

To prove that VWZ ~ YXZ by SAS similarity theorem, which other side or angle should be used

Answer 1

SAS
answer is third option
<VZW = <YZX

Answer 2

Answer: $\angle{VZW}\cong\angle{WZX}$

Step-by-step explanation:

In Δ VWZ and ΔYXZ

$\frac{VZ}{YZ}=\frac{WZ}{XZ}...........\text{[given]}\\\angle{VZW}=\angle{WZX}...........\text{[vertical angles]}$

Therefore, by SAS similarity criteria, ΔVWZ ≈ ΔYXZ

hence, we use $\angle{VZW}\cong\angle{WZX}$ to prove both the triangles similar.

• SAS similarity theorem says that at if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.