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

If the diagonals of a parallelogram are of equal lengths, the parallelogram is a rectangle. Prove it.

If the diagonals of a parallelogram are equal and intersect at right angles, then the parallelogram is a square.

If the diagonals of a parallelogram are perpendicular, then it is a rhombus.

Statement 1 : If |veca + vecb| = |veca - vecb| , then veca and vecb are perpendicular to each other. Statement 2 : If the diagonals of a parallelogram are equal in magnitude, then the parallelogram is a rectangle.

The diagonals of a parallelogram bisect each other.

Statement 1: If | vec a+ vec b|=| vec a- vec b| , then vec a and vec b are perpendicular to each other. Statement 2: If the diagonal of a parallelogram are equal magnitude, then the parallelogram is a rectangle. Which of the following Statements is/are correct ?

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.

State True or False If two adjacent sides of a parallelogram are equal, it is a rhombus

prove by vector method that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

Prove by vector method that the sum of the square of the diagonals of a parallelogram is equal to the sum of the squares of its sides.