Question

which rule explains why these triangles are congruent?

Explanation:

Step1: Identify congruence rules

AAS (Angle - Angle - Side) means two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle. SSS (Side - Side - Side) means all three sides of one triangle are congruent to all three sides of another triangle. SAS (Side - Angle - Side) means two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle. ASA (Angle - Side - Angle) means two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

Step2: Analyze the given triangles

In the given triangles, we can see two pairs of angles are marked as congruent and a non - included side is common or congruent. This matches the AAS congruence rule.

Answer:

AAS