Question

determine if the triangles are congruent. if yes select correct congruence theorem. if no select not congruent

Explanation:

Step1: Identify congruent sides

We see that $AB = XY$, $BC=YZ$ and $AC = XZ$.

Step2: Apply congruence theorem

Since all three pairs of corresponding sides are equal, by the Side - Side - Side (SSS) congruence theorem, the triangles are congruent.

Answer:

Yes, SSS