Prove analytically the following :
If the diagonals of a parallelogram are equal, then the parallelgoram is a 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 the diagonals of a parallelogram are perpendicular, then it is a rhombus.

Which of the following statements are True or False : If the diagonals of a parallelogram are equal then it is a rectangle.

Prove that the diagonals of a square are equal.

Prove that a cyclic parallelogram is a rectangle.

The diagonals of a rectangle are of the equal length.