which rule explains why these triangles are congruent?\nsss\nsas\naas\nasa\nthese triangles cannot be proven…

which rule explains why these triangles are congruent?\nsss\nsas\naas\nasa\nthese triangles cannot be proven congruent.

which rule explains why these triangles are congruent?\nsss\nsas\naas\nasa\nthese triangles cannot be proven congruent.

Answer

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