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Question
determine the relationship between the two triangles and whether or not they can be proven to be congruent. answer the two triangles are related by, so the triangles
First, identify the corresponding parts: each triangle has two marked congruent angles and one marked congruent side, where the side is not between the two angles (it is a non-included side). This matches the AAS (Angle-Angle-Side) congruence criterion, which states that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of another triangle, the triangles are congruent.
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The two triangles are related by Angle-Angle-Side (AAS) congruence, so the triangles can be proven congruent.