+1521 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 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 $\overline{RP}$ bisects $\angle SRT,$ then \triangle RSP is isosceles
If P is the midpoint of \overline{ST}, then $\triangle RSP is scalene
