Parallelogram and its elements. — lesson. Mathematics CBSE, Class 8.

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A parallelogram is a quadrilateral whose opposite sides are parallel and equal.

Here

$ABCD$ is a parallelogram.

The side

$AB$ is parallel to the side

$CD$ and the side

$AD$ is parallel to the side

$BC$ .

Also, the length

$AB = CD$ and

$AD = BC$ .

Example:

Consider the parallelogram

$PQRS$ with its sides measures

$6 cm$ and

$8 cm$ .

In here the side

$PQ$ is parallel to

$RS$ and the side

$PS$ is parallel to

$QR$ .

Also, it is clear that the length

$PQ = RS = 6 cm$ and the length

$PS = QR = 8 cm$ .

Elements of parallelogram:

Parallelogram is made up of four sides and four angles. There are some terms we usually use to denote parallelogram.

They are:

Let's see the elements of the parallelogram

$ABCD$ .

The side $AB$ is opposite to the side $CD$ and the side $AD$ is opposite to the side $BC$ .
The angle $A$ is opposite to the angle $C$ and the angle $B$ is opposite to the angle $D$ .
The side $AB$ is adjacent to the side $BC$ because one of the sides starts where the other ends. In here, the side $AB$ ends at the vertex $B$ and the side $BC$ starts from there.
The angles $A$ and $B$ are adjacent angles as they are at the ends of the same side $AB$ .

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1. Parallelogram and its elements.