Question

if the diagonal of a quadrilateral bisects the angles which it joins ,prove that it bisects the other diagonal at right angles

Answer 1

Answer; In the given quadrilateral ABCD diagonals AC and BD bisect each other at right angle. We have to prove that AB=BC=CD=AD

So, AB=AD
Similarly AB=BC=CD=AD can be proved which means that ABCD is a rhombus.