Quadrilateral Definition
A quadrilateral is a plane figure that has four sides or edges, so having four corners or vertices. Quadrilaterals will typically be of standard shapes with four sides like rectangle, square, trapezoid, and kite or irregular and uncharacterized as shown below:
Types of Quadrilaterals
There are many types of quadrilaterals. As the word ‘Quad’ means four, all these types of a quadrilateral have four sides and the sum of angles of these shapes is 360 degrees.

 Trapezium
 Parallelogram
 Squares
 Rectangle
 Rhombus
 Kite
Another way to classify the types of quadrilaterals is as given below.
 concave quadrilaterals
 convex quadrilaterals
 intersecting quadrilaterals
The images of these are as given below.
Quadrilateral Properties
A quadrilateral is a 4sided plane figure. Below are some important properties of quadrilaterals :
 Every quadrilateral has 4 vertices, 4 angles, and 4 sides
 The total of its interior angles = 360 degrees
 A quadrilateral with four equal sides and four right angles is a square
 A quadrilateral that has opposite sides equal and measure of every angle is 90 degrees is a rectangle
 Parallelogram, trapezium, rhombus, and kite are other examples of quadrilaterals
Let us understand in a better way with the help of an example:
 Four sides: AB, BC, CD, and DA
 Four vertices: Points A, B, C, and D
 Four angles: âˆ ABC, âˆ BCD, âˆ CDA, and âˆ DAC
 âˆ A and âˆ B are adjacent angles
 âˆ A and âˆ C are the opposite angles
 AB and CD are the opposite sides
 AB and BC are the adjacent sides
Quadrilateral Formula
What is the area of the quadrilateral?
Area of the quadrilateral is the total space occupied by the figure. There are different types of quadrilaterals. Let us study area formula each of them:
Area of a Parallelogram  Base x Height 
Area of a Rectangle  Length x Width 
Area of a Square  Side x Side 
Area of a Rhombus  1/2 x Diagonal 1 x Diagonal 2 OR Â Base x Height 
Area of a Kite  1/2 x Diagonal 1 x Diagonal 2 
Quadrilaterals Examples:
Example 1: What is the base of a rhombus? If its area=40 and the height is 8.
Solution: Area=40, and height= 8 (Given)
Area of rhombus=base x height baseÂ = 40/8 = 5.Â
Example 2: If 15 mtr and 6 mtr are diagonal lengths of a Â kite, then what is its area?
Solution: Given, diagonal 1 = 15 mtr and diagonal 2 = 6 mtrSo area is simply calculated as, 1/2(15×6) = 45 square mtr.
You can practice more examples of Quadrilateral using the quadrilateral worksheet.
Notes on Quadrilateral
 A quadrilateral is a trapezoid or a trapezium if 2 of its sides parallel to each other.
 A quadrilateral is a parallelogram if 2 pairs of sides parallel to each other.
 Squares and Rectangles are special types of parallelograms. Below are some special properties.– All internal angles are of “right angle” (90 degrees).– Each figure contains 4 right angles.– Sides of a square are of the same length (all sides are congruent) – Opposite sides of a rectangle are same.– Opposite sides of a rectangle and square are parallel.
 A quadrilateral is a rhombus, if
 All the sides are of equal lengthSpecified 2 pairs of sides are parallel to each other.
 A kite is a special sort of quadrilateral, wherever 2 pairs of adjacent sides are equal to each other.
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