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If diagonals of a parallelogram bisect e...

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

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Using vector method show that the diagonals of a parallelogram bisect each other.

Prove that if the two diagonals of any parallelogram intersect each other orthogonally, then the parallelogram is a rhombus.

Find " If - then implications " of the following converse statements : If the diagonals of a quadrilateral bisect each other , then it is a parallelogram .

Prove that if the lengths of the two diagonals of a parallelogram be equal , then the parallelogram is a rectangle.

Write down the contrapositive of the following " if ………., then ……" implications : If the diagonals of a quadrilateral bisect each other , then the quadrilateral is a parallelgram.

The diagonals AC and BD of the parallelogram ABCD intersect each other at O . Any straight line passing through O intesects the sides AB and CD at the points P and Q respectively . Prove that OP = OQ.

Prove that if the lengths of two diagonals of any parallelogram be equal and if the diagonals intersect each other orthogonally, then the parallelogram is a square.

The diagonals of a quadrilateral ABCD intersect each other at point ‘O’ such that (AO)/(BO) = (CO)/(DO) . Prove that ABCD is a trapezium

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