There is enough evidence to prove they are congruent. AAS would be what's used in this case.
Step-by-step explanation:
(< = angle)
<B = <Z, <A = <Y, line AC and line XY are equal.
Edit: So it appears that each of the photos are congruent. They have enough labels on them to tell you that their last unidentified angle would have to be congruent as well, meaning that each picture is congruent.
