Question

In this figure,∆PQR and ∆SQR are on the same base QR. Also, PQ = SR and PR = SQ.
Is ∆PQR congruent to ∆SQR.​

Answer 1

Answer:

Yes triangle PQR is congruent to tri. PQS

Answer 2

Some in-formations are given in this question:-

So according the question, we get the ideas about the points,

Those points are:-

• ∆PQR and ∆SQR are on the same base QR.
• PQ = SR
• PR = SQ.

We have to prove whether  ∆PQR is congruent to ∆SQR. or not.

Let,s move towards the method of prove. :-

In ∆PQR and ∆SQR

1) QR is the common base for both Triangles.

2) According the given figure,PQ = SR

3) It is also given in the figure,PR = SQ.

Hence three sides of both triangles are equal to each other.

∴SSS congruence is occured here.

It is proved that ,

 ∆PQR ≅ ∆SQR

Ans :- Yes,  ∆PQR congruent to ∆SQR.​

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