Parallelograms on the Same Base and Between Same Parallels
Parallelograms on the same base and between the same parallel lines are equal in area. It is a very important theorem in mathematics that is used to find and compare the areas of parallelograms.
Prove that Parallelogram on the Same Base and Between the Same Parallels are Equal in Area
Consider two parallelograms ABCE and ABDF on the same base AB, and between the same parallels AB and CF, as shown above:
What will be the relation between the areas of these two parallelograms? The theorem on parallelograms on the same base and between the same parallels states that such parallelograms are equal in area. Let us prove this theorem in the next section.