Triangles RST and XYZ are congruent. Point P lies on ST, and point W lies on XY. Select all the true statements.
(a) If RST is isosceles, then XYZ is isosceles.
(b) If ST = 6, then WY = 6
(c) If RP \perp ST, then WY \perp YZ
(d) If RP bisects SRT, then XYZ is right.