Question

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

Explanation:

Step1: Identify vertical angles

$\angle WUV=\angle YUX$ (vertical angles are equal).

Step2: Analyze given angles

We are given $\angle W=\angle X$ and $\angle V=\angle Y$.

Step3: Apply congruence rule

In $\triangle WUV$ and $\triangle XUY$, we have two angles and a non - included side. The AAS (Angle - Angle - Side) congruence rule 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:

AAS