In the adjoining figure D, E and F are the mid-points of the sides BC, CA and AB respectively

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In the adjoining figure D, E and F are the mid-points of the sides BC, CA and AB respectively of `Delta ABC`. Prove that: (i) `square BDEF` is a parallelogram (ii) area of `Delta DEF = (1)/(4) xx \" area of \" Delta ABC` (iii) area of `square BDEF = (1)/(2) xx \" area of \" Delta ABC`

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