Which of the following is a false statement?

(A) A median of a triangle divides it into two triangles of equal areas.

(B) The diagonals of a ‖gm divide it into four triangles of equal areas.

(C) In a ∆ABC, if E is the midpoint of median AD, then ar(∆BED) = ar(∆ABC).

(D) In a trap. ABCD, it is given that AB‖DC and the diagonals AC and BD intersect at O. Then, ar(∆AOB) = ar(∆COD).