Question

Prove that Parallelograms on the same base and between the same parallel lines are equal in area.

Answer 1

Given:

ABCD and ABEF are two parallelograms standing on the same base AB and between the same parallels AB and CF.

To prove:

Now in triangles EBC and AFD,

AF = BE (opposite sides of a parallelogram)

AD = BC (opposite sides of a parallelogram)