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ABCD is a parallelogram and X is mid point ofBC .THE line AX produced meets DC produced at Q.the parallelogram AQPB IS completed ,Prove that triangle ABX

is congruent to triangleQCX and DC=CQ=QP


Consd.r tri.'sABX & QCX.here,
ABX=XCQ(alt int ang)

therefore they are congrunt by ASA
ab=cq (CPCT)_
AB=DC (opp sides of llgm)
CQ=BP ( ' ')
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