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

Show that the diagonals of a square are equal and bisect each other at right angles.

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

Show that if the diagonals of a quadrilateral bisects 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. 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 the quadrilateral bisect each other then it is a parallelogram.

Show 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.

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

Two equal point charges Q=+sqrt(2) mu C are placed at each of the two opposite corners of a square and equal point charges q at each of the other two corners. What must be the value of q so that the resultant force on Q is zero?

Show that each angle of a rectangle is a right angle.