## ICSE Class 9 Maths Chapter 16 Area Theorems Revision Notes

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## Area Theorems

**Theorem 1**

Parallelograms on the same base and between the same parallels are equal in area. Area of (||gm ABCE) = Area of (||gm ABDF) as they lie on the same base AB and AB||DF.

**Theorem 2 **

The area of a parallelogram is equal to the area of the rectangle on the same base and of the same altitude, i.e., between the same parallels.

Area of (||gm ABCD) = Area of (rectangle ABEF) as they lie on the same base AB

and between the same parallels AB and DE

**Theorem 3**

The area of a triangle is half of that of a parallelogram on the same base and between the same parallels.

Area of (∆ APB) = 1/2 × Area of (||gm ABCD) as they lie on the same base AB

and between the same parallels AB and PC.

**Theorem 4**

Triangles on the same base and between the same parallels are equal in area. Area of (∆ ABD) = Area of (∆ ABC) as they lie on the base AB and between the same parallels AB and DC.

### ICSE Class 9 Maths Chapter 16 Area Theorems Revision Notes PDF