In quadrilateral $PQRS$, sides $\overline {PS}$ and $\overline {QR}$ have equal length and sides $\overline{PQ}$ and $\overline{RS}$ are parallel to each other. Point $X$ is the intersection of the diagonals $\overline {PR}$ and $\overline {QS}.$ Which of the following conclusions must be true?

A) $\triangle PXQ\cong\triangle RXS$

B) $\triangle SPR\cong\triangle RQS$

C) $\triangle SPQ\cong\triangle QRS$

Type your answer as a list of letters separated by commas. For instance, if you believe that conditions A, B, and C are enough, then type "A,B,C" into the answer box. If you believe none of the options are correct, enter "none."

Thanks!

Rudram592 Sep 22, 2019

#1**+1 **

Hi Rudram, I can't really understand your question. May you use the latex thanks

-Evan

EvanWei123 Sep 22, 2019