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 sides

One pair of sides is marked equal on both triangles.

Step2: Identify equal angles

The right - angles in both triangles are equal (90 degrees).

Step3: Identify another equal side

The second pair of sides is also marked equal.

Step4: Apply congruence theorem

Since two sides and the included angle (the right - angle) are equal in both triangles, by the Side - Angle - Side (SAS) congruence theorem, the triangles are congruent.

Answer:

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