# Types of quadrilaterals

There are six types of quadrilaterals and these quadrilaterals can be classified by the relationships of their sides and angles.

## How to identify a parallelogram

A parallelogram is a four-sided polygon with two pairs of parallel and equal sides. The following figure is a parallelogram.

In a parallelogram, all the followings are true:

- Opposite sides are parallel (AB || DC and AD || BC)

- Opposite sides are equal (AB = DC and AD = BC )

- Opposite angles are equal (angle A = angle C and angle B = angle D)

## How to identify a rectangle

A rectangle is a parallelogram with 4 right angles. The following figure is a rectangle.

In a rectangle, all the followings are true:

- Opposite sides are parallel (HG || EF and HE || GF)

- Opposite sides are equal (HG = EF and HE = GF)

- All four angles are equal to 90 degrees ( angle E = angle F = angle G = angle H = 90 degrees)

## How to identify a square

A square is a rectangle with 4 equal sides.The following figure is square.

In a square, all the followings are true:

- Opposite sides are parallel (JK || IL and JI || KL)

- All four sides are equal (JI = KL = JK = IL)

- All four angles are equal to 90 degrees ( angle I = angle J = angle K = angle L = 90 degrees)

**Rhombus:** A rhombus is a parallelogram with 4 equal sides. The following figure is a rhombus.

In a rhombus, all the followings are true:

- Opposite sides are parallel (PO || MN and PM || ON )

- All four sides are equal (PO = ON = NM = MP )

- Opposites angles are equal ( angle M = angle O and angle N = angle P)

## How to identify a trapezoid

** Trapezoid:** A trapezoid is a quadrilateral with only

__one pair__ of parallel sides. There are three types of trapezoids.

**Scalene trapezoid:** A scalene trapezoid is a trapezoid with no equal sides.The following is a scalene trapezoid.

**Right-angled trapezoid:** A right-angled trapezoid is a trapezoid with two right angles. The following is a right-angle trapezoid.

**Isosceles trapezoid:** In an isosceles trapezoid, non-parallel sides are equal. The following is an isosceles trapezoid.

## How to identify a kite

A kite is a quadrilateral with two pairs of adjacent sides that are equal. Furthermore, no opposite sides are equal.

## Types of quadrilaterals quiz. Take the quick to check if you understand this lesson.