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Question
In the following figure, PQ = PS and ∠1 = ∠2.
- Is ∆PQR ≅ ∆PSR? Give reasons.
- Is QR = SR? Give reasons.
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Solution
i. In ∆PQR and ∆PSR,
PQ = PS ...(Given)
∠1 = ∠2 ...(Given)
PR = PR ...(Common)
∴ ∆PQR ≅ ∆PSR ...(SAS criterion)
ii. Yes, QR = SR ...(By C.P.C.T.)
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