- The reason is that one can divide the larger square into nine congruent copies of the smaller one
- Each vertex triangle in the new hexagon is either congruent to one in the original hexagon or has the same base and height.
- This implies that the marked quadrilaterals (and so, by symmetry, all the quadrilaterals) are congruent.
- Use just one cut - or draw a line - and divide this white shape into two identical, congruent, parts.
- Four congruent sides lie on two parallel lines, and pairs of these sides define parallelograms of equal area.