PQRS is a trapezium with PQ parallel to SR. diagonals SQ and PR intersect at M such that triangle PMS is similar to triangle QMR.prove PS =RQ.
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PQRS is a trapezium with PQ||SR. Diagonals PR and SQ intersect at M.PMSQMR. Prove that PS = QR.
Asked by Topperlearning User26th July 2017, 1:48 PM
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Answer:

InMSR andMQP,
1 =2
3 =4
(Alternate angles)
[AA similarity]

Also,

From (1) and (2),

 QM2 = PM2
 QM = PM … (3)
From (1), (3),
 … (4)
From (2), (3), (4), we have:
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