Question

1. given: ∠v = ∠y, wz bisects ∠vwy. name the postulate or theorem you can use to prove △wzv ≅ △wzy. asa postulate sas postulate aas theorem sss postulate

Explanation:

Step1: Analyze given angles

Given $\angle V=\angle Y$ and $\overline{WZ}$ bisects $\angle WZY$, so $\angle VWZ=\angle YWZ$. Also, $\overline{WZ}$ is common to both $\triangle WZV$ and $\triangle WZY$.

Step2: Recall congruence postulates

We have two pairs of angles equal and a non - included side common. The AAS (Angle - Angle - Side) theorem states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.

Answer:

C. AAS Theorem