Geometry: Common Core (15th Edition)

$A$
We have one line ($\overline{VW}$) that is congruent in both triangles because that line is shared by both triangles. $\angle YWV$ is congruent to $\angle VWZ$. We need the other line segment making up the angle to be congruent; that is, we need $\overline{WY}$ to be congruent to $\overline{WZ}$. This answer corresponds to option $A$.