In the given figure prove that: PQ = RS

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asked 6 days ago in Class VII Maths by aditya23 (-854 points)

In the given figure prove that:
(i) PQ = RS
(ii) PS = QR

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1 Answer

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answered 6 days ago by muskan15 (-2,499 points)

Proof : In △PQR and △ PSR,

PR = PR (Common)

∠PRQ = ∠RPS (given)

∠PQR = ∠PSR (given)

∴ △ PQR △ PSR (A.A.S. Axiom)

Hence, (i) PQ = RS (c.p.c.t)

(ii) QR = PS (c.p.c.t)

Or PS = QR

Hence proved.

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