In a parallelogram ABCD, prove that it is a rhombus, if diagonals bisect each other at `90^(@)`

The diagonals of a |gm bisect each other

In a parallelogram ABCD, the bisectors of angleA and angleB intersect each other at point P. Prove that angleAPB=90^(@).

In quadrilateral ABCD if AB=7.3 cm, one angles is 60^(@) and diagonals bisect each other at 90^(@) then which of the following figures can be constructed?

For which of the following, diagonals bisect each other?

Show that the diagonals of a rhombus bisect each other at right angles.

Prove that the diagonals of a rectangle bisect each other and are equal.

A parallelogram in which both the diagonals are equal and bisect each other is a

Let A denote the set of quadrilaterals having two diagonals equal and bisecting each other. Let B denote the set of quadrilaterals having diagonals bisecting each other at 90^(@) . Then AcapB denotes

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.