Question

In the given figure, ZSPR = ZQRP and ZRSP = ZPQR. Prove that: (i) PQ = RS (ii) PS = QR P​

Answer 1

In ∆ SRP and ∆ PQR

PR = PR(common)

angle SRP = angle PRQ(given)

anglePSR = anglePQR(given)

by ASA congruence criterion ∆SRP ≈ ∆PQR

PQ = RS {by C.P.C.T.}

QR = PS

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