in the given figure .ABCD is a parallelogram and AB ||PQ prove MR||BC
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pls attach the figure as we dont know what are MR and PQ
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OC || SR From ∆OPS and OAB, PS||AB ∠POS = ∠AOB [common angle] ∠OSP = ∠OBA [corresponding angles] ∆OPS ∼ ∆OAB [by AAA similarity criteria] Then, Using basic proportionality theorem, We get, PS/AB = OS/OB …(i) From ∆CQR and ∆CAB, QR || PS || AB ∠QCR = ∠ACB [common angle] ∠CRQ = ∠CBA [corresponding angles] ∆CQR ∼ ∆CAB Then, by basic proportionality theorem SR || OC [By converse of basic proportionality theorem]
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