Question

1. * yes, hl yes, aas yes, asa no

Explanation:

Step1: Analyze the given information

We have two right - angled triangles \( \triangle WXV\) and \( \triangle WZV\). We know that \( \angle X=\angle Z\) (given angles), \( \angle WVX = \angle WVZ=90^{\circ}\) (right angles), and \( WV = WV\) (common side).

Step2: Recall the AAS (Angle - Angle - Side) congruence criterion

The AAS congruence criterion states that if two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.

Answer:

yes, AAS