Question

identify the correct triangle congruence theorem.

Explanation:

Step1: Recall AAS and ASA definitions

• AAS (Angle - Angle - Side): Two angles and a non - included side of one triangle are equal to the corresponding two angles and non - included side of another triangle.
• ASA (Angle - Side - Angle): Two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

Step2: Analyze the given triangles

In the given figure, we have two angles and a non - included side (the side of length 1 is not between the two marked angles in each triangle).

Answer:

AAS