Question

In the parallogram PQRS, PR and QS are diagonals. A line segment MN is drawn so that it is parallel to PS and QR

(i) Show that triangle MOQ congruent to triangle NOS .

(ii) Is MO = NO ? Why ?​

Answer 1

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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= area of parallelogram

Then area of Δ POS +area of ΔQOR=area of ΔPOQ +area ΔSOR

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