Question

P and q are opposite sides ad and bc of



a.Parallelogramabcd such that pq passes through the point of intersection o of its duagonals ac and bd.Show that pq is bisected at o

Answer 1

Answer:

Refer to the attached image

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Answer 2

Answer:

Hint- show that ΔOAP≅ΔOCQ

Step-by-step explanation:

In ΔOAP and ΔOCQ

AO=CO (diag. bisect each oither in a parallelogram)

∠AOP=∠COQ (V.O.A)

∠OAP=∠OCQ (opp. angles are equal in a parallelogram)

⇒ΔOAP≅ΔOCQ

⇒PO=QO {C.P.C.T}

∵Proved that PQ is bisected at O.

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