The triangles RST and XYZ are congruent. Points P and W lie on ST and YZ, respectively. Which of the following statements are true?
A) If P is the midpoint of Line ST and W is the midpoint of line YZ, then triangle RSP is congruent with triangle XYW .
B) If line RP bisects angle SRT and line XW bisects angle YXZ, then triangle RSP is congruent with triangle XYW.
C) If RP = XW, then triangle RSP is congruent with triangle XYW.
D) If \(\overline {RP}\perp\overline {ST} \) and \(\overline {XW}\perp\overline{YZ}\), then \(\triangle RSP\cong \triangle XYW\).