Hey! I have a question for this problem:

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) triangle PXQ is congruent to triangle RXS

B) triangle SPR is congruent to triangle RQS

C) triangle SPQ is congruent to triangle QRS

I believe it's A and C, but I'm not sure. can someone confirm?

Guestatbest Sep 16, 2021

#3**+2 **

Draw a pic. of a random quadrilateral. One that does not look very special

Call it PQRS

Mark on it the things that are told to you.

Redraw it so that it looks more like it is supposed to. But do not give it extra special features that are no specified (unless it is unavoidable)

**What shape is it?**

Now test all those possibilities and you will see that only one seems right.

Melody Sep 17, 2021