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

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

The diagonals of a parallelogram bisect each other.

Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other.(a) If you live in Delhi, then you have winter clothes. (i) If you do not have winter clothes, then you do not live in Delhi. (ii) If you have winter clothes, then you live in Delhi.(b) 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 diagonals of a quadrilateral bisect each other, then it is a parallelogram.

State 'True' or 'False' The diagonals of a quadrilateral bisect each other

Prove that the diagonals of a parallelogram bisect each other.

The diagonals of a rectangle bisect each other

Prove by vector method that the diagonals of a parallelogram bisect each other.

Prove that; If the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.

If one diagonal of a quadrilateral bisects the other, then it also bisects the quadrilateral.

if diagonals of a parallelogram bisect each other,prove that its a rhombus