Show that the diagonals of a square are equal and right bisectors of each other.

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

In the quadrilateral ABCD, the diagonals AC and BD are equal and perpendicular to each other. What type of a quadrilateral is ABCD?

prove that the diagonals of a rhombus are perpendicular to each other.

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

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

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.