Question

determine if the triangles are congruent. if yes select the correct theorem. if no select not congruent
congruent select
theorem select

Explanation:

Step1: Identify equal elements

We see two pairs of equal angles (marked by the red arcs) and a pair of equal sides (marked by the single and double - hash marks).

Step2: Apply congruence theorem

Since we have two pairs of equal angles and the included side between them is equal, the ASA (Angle - Side - Angle) congruence theorem applies.

Answer:

Congruent: Yes
Theorem: ASA (Angle - Side - Angle)