Different Types of Quadrilaterals

Different types of quadrilaterals are explained with their definition and properties along with the diagram.

Parallelogram

A quadrilateral is called a parallelogram, if both pairs of its opposite sides are parallel. 

In the adjoining figure, ABCD is a quadrilateral in which 

AB ∥ DC and AD ∥ BC. 

So, ABCD is a parallelogram. 

Rhombus

A parallelogram having all sides equal, is called a rhombus.

In the adjoining figure, ABCD is a rhombus in which

AB ∥ DC, AD ∥ BC and AB = BC = CD = DA.

Rectangle

A parallelogram in which each angle is a right angle is called a rectangle.

In the adjoining figure, ABCD is a quadrilateral in which

AB ∥ DC, AD ∥ BC and ∠A = ∠B = ∠C = ∠D = 90°.

So, ABCD is a rectangle.

Square

A parallelogram in which all the sides are equal and each angle measures 90° is called a square.

In the adjoining figure, ABCD is a quadrilateral in which

AB ∥ DC, AD ∥ BC, AB = BC = CD = DA

and ∠A = ∠B = ∠ C = ∠D = 90°.

So, ABCD is a square.

Trapezium

A quadrilateral having exactly one pair of parallel sides is called a trapezium.

In the adjoining figure, ABCD is a quadrilateral in which

AB ∥ DC.

So, ABCD is a trapezium.

Isosceles Trapezium

A trapezium whose non-parallel sides are equal is called an isosceles trapezium.

Thus, in the adjoining figure, ABCD will be an isosceles trapezium if

AD ∥ BC and AB = BC

Kite

A quadrilateral is called a kite if it has two pairs of equal adjacent sides but unequal opposite sides.

In the adjoining figure, ABCD is a quadrilateral

AB = AD, BC = DC, AD ≠ BC and AB ≠ DC.

So, ABCD is a kite.

● Related Concepts on Quadrilateral

● What is Quadrilateral?

● Different Types of Quadrilaterals

● Construction of Quadrilaterals

● Construct Different Types of Quadrilaterals

● Quadrilateral - Worksheets

● Quadrilateral Worksheet

● Worksheet on Construction on Quadrilateral

● Worksheet on Different Types of Quadrilaterals

8th Grade Math Practice

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