In the parallelogram PQRS, PR and QS are diagonals. A line segment MN is drawn so that it is parallel to PS and QR. Р Р M Q S S R. N Fig. 12.44 6. In the diagon find th A (1) Show that A MOQ = A NOS. (ii) Is MO = NO? Why?
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In given figure parallelogram PQRS , PR and QS diagonal intersect at O.
We know that the diagonal intersect at right angle each other
The line LM is parallel to PS
Then diagonal of parallelogram divided in equal area of triangles
Then area Δ POQ= area of Δ POS= area of ΔQOR= area of Δ SOR
OR Area of Δ POS +area of Δ QOR=1/2 = area of parallelogram
Then area of Δ POS +area of ΔQOR=area of ΔPOQ +area ΔSOR
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