How can I prove this :
Let a regular hexagon ABCDEF and M, N, R and S the respective midpoints of AB, CD, DE and FA: i) Prove that the MNRS is a rectangle. ii) compare the area of MNRS and the area of the hexagon
For the first question, I proved that the diagonals MR and NS are equal and thus form a rectangle.
For the second question, I have no idea... Do you have any clues on how to prove?