AREAS OF PARALLELOGRAMS AND TRIANGLES

The part of the plane enclosed by a simple closed figure is called a corresponding to that figure.

The magnitude or measure of this planar region is called its .

Two figures are called , if they have the same shape and the same size.

Two figures having equal areas need not be .

of a figure is a number (in some unit) associated with the part of the plane enclosed by that figure.

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

If a planar region formed by a figure T is made up of two planar regions formed by figures P and Q, then ar (T) = ar (P) + ar (Q), where ar (X) denotes the area of figure X.

Two figures are said to be on the same base and between the same parallels, if they have a common base (side) and the vertices, (or the vertex) opposite to the common base of each figure lie on a line to the base.

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

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

on the same base (or equal bases) and having equal areas lie between the same parallels.

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

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

Area of a triangle is of its base and the corresponding altitude.

Triangles on the same base (or equal bases) and having lie between the same parallels.

A of a triangle divides it into two triangles of equal areas.

AREAS OF PARALLELOGRAMS AND TRIANGLES

Gap-fill exercise