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Prove using vectors: The diagonals of a ...

Prove using vectors: The diagonals of a quadrilateral bisect each other iff it is a parallelogram.

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`=(vec(b)+vec(d))/(2)`
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Given statements . Identify the statements given below as contrapositive or converse of each other. If a quadrilateral is a parallelogram, then its diagonals bisect each other. (i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. (ii) If the diagronals of a quadrilateral bisect each other, then it is a parallelogram.