##
**Quadrilateral**

A closed plane figure bounded by 4 sides or line segments is called a quadrilateral.

In the given figure, ABCD is a quadrilateral whose four
sides are AB, BC, CD and AD. There are four interior angles in a quadrilateral
and the sum of the angles of a quadrilateral is always 360°.

###
**Types of Quadrilateral**

There are some special types of quadrilaterals. They are:

####
**Rectangle**:

A
quadrilateral having its opposite sides equal and each angle 90° is called a
rectangle. ABCD in the given figure is a rectangle.

In a rectangle,

1.
Diagonals are equal and they bisect to each
other.

2.
Opposite sides are equal and parallel.

**Area of rectangle = l × b**, where l is length and b is breadth of rectangle####
**Square**:

A
quadrilateral having its all four sides equal and each angle 90° is called a
square. ABCD in the given figure is a square.

In a square,

1.
Diagonals are equal and they bisect to each
other at 90°.

2.
Opposite sides are equal and parallel.

**Area of square = l**where l is length of square^{2},####
**Parallelogram**:

A
quadrilateral having opposite sides parallel is called a parallelogram.
ABCD in the given figure is a parallelogram.

In a parallelogram,

1.
Opposite sides are equal.

2.
Opposite angles are equal.

3.
Diagonals bisect each other.

**Area of parallelogram = b × h**, where b is base and h is height of parallelogram####
**Rhombus**:

A
quadrilateral having its all four sides equal is called a rhombus. ABCD in the
given figure is a rhombus.

In rhombus,

1.
Diagonals bisect to each other at 90°.

2.
Opposite sides are parallel.

3.
Opposite angles are equal.

**Area of rhombus = ½ × d**, where d_{1}× d_{2}_{1}and d_{2}are diagonals of rhombus

####
**Kite**:

A
quadrilateral having its adjacent sides equal is called a kite. ABCD in the
given figure is a kite.

In kite,

1.
Diagonals intersect each other at 90°.

**Area of kite = ½ × d**, where d_{1}× d_{2}_{1}and d_{2}are diagonals of kite####
**Trapezium**:

A
quadrilateral having a pair of its opposite sides parallel is called a
trapezium. ABCD in the given figure is a trapezium.

**Area of trapezium = ½ × h × (l**, where h is height and l_{1}+ l_{2})_{1}and l_{2}length of parallel sides

*You can comment your questions or problems regarding quadrilaterals here.*

## No comments: