Question

question
determine the relationship between the two triangles and whether or not they can be proven to be congruent.

answer attempt 1 out of 4
the two triangles are related by
, so the triangles
.

Explanation:

First, identify the corresponding parts: each triangle has one marked congruent side, and two marked congruent angles (the angles are non-included relative to the side). This matches the AAS (Angle-Angle-Side) congruence criterion. The triangles are related by a rigid transformation (reflection/rotation, which preserves congruence), satisfying the condition for congruence.

Answer:

The two triangles are related by AAS (Angle-Angle-Side) congruence conditions, so the triangles can be proven congruent.