Question

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

Explanation:

Step1: Identify congruent parts

We see two pairs of angles are marked as congruent (\(\angle V\cong\angle X\) and \(\angle U\cong\angle W\)) and a pair of non - included sides (the sides opposite the non - congruent angles in each triangle) are formed by the intersection of the lines.

Step2: Recall congruence rules

The AAS (Angle - Angle - Side) congruence rule 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:

AAS