In the given figure, PQ = PS and ∠1 = ∠2.(i) Is ΔPQR ≅ ΔPSR? G – InterviewSolution

InterviewSolution

1.

In the given figure, PQ = PS and ∠1 = ∠2.(i) Is ΔPQR ≅ ΔPSR? Give reason.(ii) Is QR =SR? Give reason.

Answer»

Yes,

(i) In ΔPQR and ΔPSR,

PQ = PS [given]

∠1 = ∠2 [given]

PR = PR [common side]

By SAS congruence criterion, ΔPQR ≅ ΔPSR

(ii) Yes, QR = SR

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