Question

show that if the diagonals of a quadrilater
bisect each other at right angles, then its
a rhombus.
​

Answer 1

Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus. Sol: We have a quadrilateral ABCD such that the diagonals AC and BDbisect each other at right angles at O. Their corresponding parts are equal. Thus, the quadrilateralABCD is a rhombus.

Answer 2

Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus. Sol: We have a quadrilateral ABCD such that the diagonals AC and BDbisect each other at right angles at O. Their corresponding parts are equal. Thus, the quadrilateralABCD is a rhombus.