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

We can see two pairs of equal angles (marked by the arcs) in the two triangles.

Step2: Identify equal side

The side between the two pairs of equal angles is common to both triangles, so it is equal for both.

Step3: Apply congruence theorem

By the ASA (Angle - Side - Angle) congruence theorem, if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Answer:

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