Question

which rule explains why these triangles are congruent? sss sas aas asa these triangles cannot be proven congruent.

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. So, $\angle WVX=\angle YVZ$.

Step2: Check angle - angle - side (AAS) criteria

We have $\angle X=\angle Z$, $\angle WVX=\angle YVZ$ (from Step 1), and a non - included side (the side opposite to one of the angles). For example, if we consider the sides $WX$ and $YZ$ (or other non - included sides based on the angle - angle pair). In AAS (Angle - Angle - Side) congruence criterion, 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:

AAS