Question

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

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. So, $\angle XUY=\angle WUV$.

Step2: Analyze given information

We have one pair of equal angles ($\angle X = \angle V$), one pair of equal sides (marked in the figure), and the vertical angles ($\angle XUY=\angle WUV$). This satisfies the AAS (Angle - Angle - Side) congruence rule.

Answer:

AAS