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

A) PXQRXS
B) SPRRQS
C) SPQQRS

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."

 Sep 9, 2023
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Since PS = QR and PQ || RS, quadrilateral PQRS is a parallelogram. Therefore, diagonals PR and QS bisect each other at X, so PXQ = RXS and SPR = RQS. Also, SPQ = QRS. So, all the conclusions must be true. The answer is

A,B,C.

 Sep 9, 2023

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