Triangles RST and XYZ are congruent. Point P lies on \overline{ST}, and point W lies on \overline{YZ}. Select all the true statements.
If RP = WY, then RSP = XYT
If RP perp XW and ST perp RS, then RSP cong XWP
if BP bisects XYZ, and XZ bisects WYZ, then RSP cong WZY