Question

if each diagonal of a quadrilateral separates it into two Triangles of equal area then show that the quadrilateral is a parallelogram

Answer 1

hope this helps you

Answer 2

if we assume a quad abcd and separate it into two diagonals and it forms two triangle equal area it is given quad abcd and it's diagonal ac and bd are such that ar(abd) =ar(cbd) and ar(abc) =ar(acd) hence it is parellelogram