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Pqrs is a parallelogram. Pq and ps are produced to points a and b respetively such that pq= qa and ps=sb. Prove that a,r and b lie on a straight line.




Given = In parallelogram PQRS, PQ = QA and PS = SB. 
Proof = A, R, and B are located on the same line. 

PS = SB (Given) 
PS = QR (Opposite side of parallelogram PQRS)  

So SB = QR .... (1) 

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