Question

are these triangles congruent? if so, by what theorem?

Explanation:

Step1: Recall the SAS (Side - Angle - Side) congruence theorem

The SAS congruence theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Step2: Check the given triangles

In the two triangles, we can observe that two sides are marked as equal and the included angle (the angle between the two marked sides) is also equal.

Answer:

Yes, the triangles are congruent by the SAS (Side - Angle - Side) theorem.