The diagonals do not necessarily intersect at right angles in a

The diagonals do not necessarily bisect the interior angles at the vertices in a

The diagonals of a quadrilateral intersect at right angles. Prove that the figure obtained by joining the mid-points of the adjacent sides of the quadrilateral is a rectangle.

The two diagonals are not necessarily equal in a

The diagonals of a rectangle intersect each other at right angles. Prove that the rectangle is a square.

In a quadrilateral ABCD, with unequal sides if the diagonals AC and BD intersect at right angles, then

The diagonals of a cyclic quadrilateral are at right angles. Prove tha the perpendicular from the point of their intersection on any side when produced backwards , bisects the opposite side.

Prove that the if the diagonals of a quadrilateral bisct each other at right angles then it is a rhombus.