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 nonparallel 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
● Different Types of Quadrilaterals
● Construction of Quadrilaterals
● Construct Different Types of Quadrilaterals
● Quadrilateral  Worksheets
● Worksheet on Construction on Quadrilateral
● Worksheet on Different Types of Quadrilaterals
8th Grade Math Practice
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