Question

PQRS is a trapezium in which PQ//RS. Diagonals PR and QS intersect at M, then​

Answer 1

PQRS is a trapezium in which PQ//RS. Diagonals PR and QS intersect at M, then​ the following can happen that is

PO /QO=RO/SO

if you prove this then

As PQ∣∣RS and PR and QS are transversal

∠OSR=∠OQP   (alternate angles)

∠ORS=∠OPQ   (alternate angles)

then  ,△SOR∼△POQ

then SO/PO=RO/QO=SR/PQ

then,

     QO/PO=RO/SO            (PROVED)

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