Answer:
RHS
Step-by-step explanation:
It is given that XY is the perpendicular bisector of WZ. This means that it forms 90-degree angles at Y. (angle XYZ and angle XYW are 90 degrees). (R)
Since there is a right angle at Y, XZ and XW are the hypotenuses. (H)
There is a common line between triangle XYZ and XYW and that is XY. (S)
Therefore you can prove ΔXYZ ≅ΔXYW because of RHS
