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 see two pairs of equal angles marked (the single - arc and double - arc angles).

Step2: Identify equal side

The vertical line is a common side for both triangles, so it is equal for both.

Step3: Apply congruence theorem

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

Answer:

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