Question 21
a. The two diagonals of a quadrilateral each divide it into two parts of equal area. Prove it is a parallelogram.
b. The three main diagonals of a hexagon each divide it into two parts of equal area. Prove they have a common point. [If $ABCDEF$ is a hexagon, then the main diagonals are $AD$, $BE$ and $CF$.]
b. The three main diagonals of a hexagon each divide it into two parts of equal area. Prove they have a common point. [If $ABCDEF$ is a hexagon, then the main diagonals are $AD$, $BE$ and $CF$.]