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

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In the given figure, PQ = PS and ∠1 = ∠2.

(i) Is ΔPQR ≅ ΔPSR? Give reason.

(ii) Is QR =SR? Give reason.

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1 Answer

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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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