web2.0calc
 
+0  
 

help geometry problem

0
374
2
avatar

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

2+0 Answers

 #1
avatar
0

 

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
avatar
0

The correct answer is A, B, C.

 Aug 31, 2021

5 Online Users

avatar
avatar
avatar
avatar

Top Users

avatar+128474 CPhill moderator
avatar+118609 Melody moderator
avatar+33615 Alan moderator
avatar+14915 asinus moderator
avatar+9519 MaxWong
avatar+3144 admin administrator
avatar+2440 GingerAle
avatar+1791 tomtom
avatar+1484 bader
avatar+1085 parmen
avatar+1032 kittykat

Sticky Topics