Areas of Parallelogram and Triangles – Notes

Areas of Parallelograms

Area of a parallelogram is equal to the product of its base and corresponding height.

The diagonal of a parallelogram bisect each other.

A diagonal of the parallelogram divides it into two congruent triangles.

Opposite sides and angles of a parallelogram are equal.

Two congruent figures have equal areas but the converse need not be true.

Parallelograms on the same base (or equal bases) and between the same parallels are equal in area.

Parallelograms on the same base (or equal bases) that have equal areas lie between the same parallels.

If a parallelogram and a triangle are on the same base and they are between the same parallels, then area of the triangle is half the area of the parallelogram.