Mathematics
If each diagonal of a quadrilateral divides it into two triangles of equal areas, then prove that the quadrilateral is a parallelogram.
Related Questions
Use the information given in the following figure to show that ar.(ABCQ) = ar.(ABCDE).

[Given : l // m and p // n]
In the given figure, ABCD, ABEF and AGHF are parallelograms.

Prove that the area of parallelogram ABCD = area of parallelogram AGHF.
The area of the parallelogram ADFE is 275 cm2 and AD = 12.5 cm. Find the distance between point D and side EF.