Q. 1503.7( 3 Votes )

In Fig. 6.51, PQ = PS and 1 = 2.



(i) Is ∆PQR ∆PSR? Give reasons.

(ii) Is QR = SR? Give reasons.

Answer :

Given: PQ = PS and 1 = 2


Formula Used/Theory:-


when 2 sides and angle between both the sides are equal in both the triangles then triangles are congruent by SAS congruence criterion


In Δ PQR and Δ PSR


PQ = PS (Given)


PR = PR (Common)


QPR = SPR (Given)


∆PQR ∆PSR


Hence; Δ PQR and Δ PSR are congruent by SAS criterion


If ∆PQR ∆PSR then;


All 6 perimeters are equal.


PQ = PS; PR = PR; QR = SR


1 = 2; Q = S; PRQ = PRS


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