Triangles RST and XYZ are congruent. Point P lies on ¯ST, and point W lies on ¯YZ. Select all the true statements.
If XY = ST, then \triangle RSP is similar to \triangle XYW.
If \overline{RP} \perp \overline{XW} and \overline{ST} \perp \overline{WZ}, then triangle RSP is isoceles
If ¯RP bisects ∠SRT, then \triangle RSP is isosceles
If P is the midpoint of \overline{ST}, then $\triangle RSP is scalene