Question

identify the correct triangle congruence theorem.

Explanation:

Step1: Recall triangle congruence theorems

ASA (Angle - Side - Angle) requires two angles and the included side to be equal. AAS (Angle - Angle - Side) requires two angles and a non - included side to be equal.

Step2: Analyze the given triangles

In the given figure, we have two right - angled triangles. We have two angles (the right angle and the marked angle) and a non - included side (the side that is marked as equal, which is not between the two angles) equal.

Answer:

AAS