Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square.

Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles then it is a square.

Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.

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

Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other. (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.

If the diagonals of a parallelogram are equal, then show that it is rectangle .

If the diagonals of a parallelogram are equal, show that it is a rectangle.

Show that the angles of an equilateral triangle are 60^@ each.

Show that the angles of an equilateral triangle are 60^(@) each

Restate the following statements with appropriate conditions, so that they become true. (iv) The diagonals of a quadrilateral bisect each other.