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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) ΔPXQ≅ΔRXS
B) ΔSPR≅ΔRQS
C) ΔSPQ≅ΔQRS

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 25, 2018
 #1
avatar+111328 
+1

Look at the diagram ;

 

 

A) ΔPXQ≅ΔRXS  is true

 

and

 

C) ΔSPQ≅ΔQRS   is true

 

 

cool cool cool
 

 Sep 25, 2018
 #2
avatar+111 
+1

Sorry, A and C is the wrong answer.

 Sep 25, 2018
 #3
avatar+109519 
+2

The answer is only A because the quadrilateral can be a isosceles trapezium. It does not have to be a parallogram.

 Sep 26, 2018
 #4
avatar+111328 
+1

Thanks, Melody!!

 

 

cool cool cool

CPhill  Sep 26, 2018

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