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Prove that the figure formed by joining the mid-points of the pair of consecutive sides of a quadrilateral is a parallelogram. OR `B A C D` is a parallelogram in which `P ,Q ,R` and `S` are mid-points of the sides `A B ,B C ,C D` and `D A` respectively. `A C` is a diagonal. Show that : `P Q|| A C` and `P Q=1/2A C` `S R || A C` and `S R=1/2A C` `P Q=S R` (iv) `P Q R S` is a parallelogram.

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