16. In the figure, PORS is a parallelogram and B is the mid-point of s – InterviewSolution

InterviewSolution

1.	16. In the figure, PORS is a parallelogram and B is the mid-point of side PS. If QP and RB areproduced lo meet at point A, then prove that AQ 2rO.R.vZ-a snectively. If XY = 9 cm
Answer» In triangleAPB nd tri.BRQangleAPB=angleBSR (alternate angles)PB=BS(given-B is mid pt.)anglePBA=angleSBR(vertiacally opp. angles)triangleAPB and tri. BRQ are congruent by ASA.=>AP=SR (by cpct)__(1)PQRS is a parallelogram,=>PQ=SR (opp. sides of a parallelogram are equal)__(2)according to eq. (1) and (2)AP=SRPQ=SR=>AP=PQ.AP+PQ=AQPQ+PQ=AQ (AP=PQ)2PQ=AQHence proved!

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