Question

if diagonals of quadrilateral divide it into 4 ∆ `s of equal areas then show that it is a parallelogram

Answer 1

If a quadrilateral is decided into four equal equal parts then all the sides of the triangle will be equal. If you take two triangles as OAB and ABC then conguerent these triangles and similarly other two triangles then all the sides of quadrilateral will be equal and ll then it is proved that it is a llgm