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In the figure above, line PS bisects angle QPR. We can ensure that \(\triangle PQS\cong\triangle PRS\) by just adding one more condition. Which of the following statements could be that condition? 

A) PQ = PR

B) SQ = SR

C) angle PQS = angle PRS

D) angle PSQ = angle PSR

If possible, can you show me how you got the answer

 Aug 31, 2021
 #1
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add condition A)  PQ = PR    

 

Then you have                      PQ  =  PR  

                                  angle QPS  =  angle RPS  

                                              PS  =  PS   

 

The triangles are congruent by Side-Angle-Side.  That's either an axiom or a theorem, I don't remember which.  

.

 Aug 31, 2021
 #2
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The correct answer is A, B, C.

 Aug 31, 2021

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