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In the figure, ΔABC, D, E, F are the mid...

In the figure, ΔABC, D, E, F are the midpoints of sides BC, CA and AB respectively. Show that
(i) BDEF is a parallelogram
(ii) `ar(DeltaDEF)=1/4ar(DeltaABC)`
(iii) `ar(BDEF)=1/2ar(DeltaABC)`

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