CAT Area of Shapes Between Parallel Lines - Practice Questions & MCQ

1. Parallelograms on the same base and between the same parallels are equal in area.

Parallelogram ABCD and parallelogram ABEF are on the same base AB and between the same parallels AB and CD.

Therefore, Area of parallelogram ABCD = Area of parallelogram ABEF.

Note: A parallelogram and a rectangle on the same base and between the same parallels are equal in area. 

2. The area of a triangle is half the area of the parallelogram if they lie on the same base and between the same parallels. 

Parallelogram ABCD and ΔABE are on the same base AB and between the same parallels AB and CD.

3. Triangles on the same base and between the same parallels are equal in area.

ΔABC and ΔABD are on the same base AB and between the same parallels AB and CD.

∴ Area of ΔABC = Area of ΔABD.