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

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

Statement 1: If | vec a+ vec b|=| vec a- vec b|,t h e n vec aa n d vec b are perpendicular to each other. Statement 2: If the diagonal of a parallelogram are equal magnitude, then the parallelogram is a rectangle.

If a parallelogram is cyclic, then it is a rectangle. Justify.

Diagonal AC of a parallelogram ABCD bisects A. Show that it bisects C also

Prove that the sum of the squares of the diagonals of parallelogram is equal to sum of the squares of its sides.

Write the converse and decide whether the converse is true or false. (vii) If vertices of a parallelogram lie on a circle then it is a rectangle.

Diagonals AC of a parallelogram ABCD bisects angleA . Show that it bisects angleC also ABCD is a rhombus

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

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

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.