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 angles

There are two pairs of equal angles as indicated by the angle markings.

Step2: Identify equal side

There is a common side between the two triangles which is equal for both.

Step3: Apply congruence theorem

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

Answer:

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