Question

complete the proof that ( \triangle wxz cong \triangle wyz ).

Explanation:

Step1: Identify congruent parts

From the table: $\angle X \cong \angle Y$ (given), $\angle WZX \cong \angle WZY$ (right angles congruent), $\overline{WZ} \cong \overline{WZ}$ (reflexive).

Step2: Apply AAS congruence

Two angles and a non-included side of $\triangle WXZ$ match $\triangle WYZ$.

Answer:

$\triangle WXZ \cong \triangle WYZ$ by AAS Congruence Theorem