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# What is Parallelogram?

## Parallelogram Definition

A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.

In the figure, ABCD is a parallelogram as AB || CD (or AB parallel to CD) and AD || BC (or AD parallel to BC).

It is denoted by ||gm ABCD. ### Properties of parallelogram

###### 1.  The opposite sides of a parallelogram are equal.

In the figure, ABCD is a parallelogram, where

AB = CD and BC = AD ###### 2. The opposite angles of a parallelogram are equal.

In the figure, A = C and B = D. ###### 3. Diagonals of a parallelogram bisect each other.

We will observe that in case OA – OC and OB – OD are either zero or so small that the same may be ignored.

Thus, in each case, OA = OC and OB = OD. ### Types of a parallelogram

Some special types of a parallelograms are:

#### 1. Rectangle

A rectangle is a parallelogram one of whose angles is a right angle.

In the adjoining figure, ABCD is a rectangle in which B = 90° #### 2. Square

A square is a rectangle in which all sides are equal.

In given figure, ABCD is a square as

AB = BC = CD = DA and B = 90° #### 3. Rhombus

Rhombus is a parallelogram whose all sides are equal.

In given below figure, ABCD is a rhombus as

AB = BC = CD = DA Area of Parallelogram