Answer:
Yes.
∆CAB ≅ ∆XYZ by AAS Congruence Theorem.
Step-by-step explanation:
There's enough information provided in the diagram above for us to prove that ∆CAB is congruent to ∆XYZ.
From the diagram, we cam observe the following:
<A ≅ <Y
<B ≅ <Z
side CA ≅ XY
Using the Angle-Angle-Side (AAS) Congruence Theorem, since two angles, <A and <B, and a non-included side, CA, in ∆CAB are congruent to two the corresponding angles, <X and <Z, and a non-included side, XY, in ∆XYZ, then ∆CAB is congruent to ∆XYZ.
