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What is Quadrilateral? [Definition, Properties & Example]


Quadrilateral definition

A closed figure bounded by four line segments, that do not intersect each other except at the endpoints is called a  quadrilateral.

The quadrilateral is derived from two words, ‘quadri‘ which means four, and ‘lateral‘ which means side.

 Quadrilateral

Quadrilateral examples in real life

We can see the shape of quadrilaterals in several objects around us, like in a deck of cards, a chessboard, a kite, a tub of popcorn, and an arrow.

Quadrilateral examples in real life

Properties of a Quadrilateral

  • A quadrilateral has 4 sides and 4 vertices.
  • A quadrilateral has 4 angles and two diagonals.
  • The sum of the angles of a quadrilateral is always 360°.

Types of Quadrilaterals

Quadrilaterals can be categorized into

  1. Parallelogram
  2. Rectangle
  3. Rhombus
  4. Square
  5. Trapezium
  6. Kite

1. Parallelogram

A quadrilateral is a parallelogram if

  • its opposite sides are equal.
  • opposite angles are equal.
  • its diagonals bisect each other.
  • it has one pair of opposite sides parallel and equal.

Parallelogram definition

2. Rectangle

A rectangle properties are:

  • opposite sides are equal.
  • each angle is a right angle.
  • diagonals are equal.
  • diagonals bisect each other.

Rectangle

3. Rhombus

A rhombus properties are:

  • all sides are equal.
  • opposite angles are equal.
  • diagonals bisect each other at a right angle.

rhombus properties

4. Square

A square properties are:

  • all the sides are equal.
  • each angle is a right angle.
  • diagonals are equal.
  • diagonals bisect each other at a right angle.

square properties

5. Trapezium

A trapezium properties are:

  • one pair of opposite sides is parallel.
  • interior angles on the same side of each of the non-parallel sides are supplementary.

6. Kite

  • two pairs of adjacent sides are equal and opposite sides are unequal.
  • diagonals intersect each other at right angles.
  • the diagonals bisects the other diagonal.
  • only one pair of opposite angles is equal.

Kite properties

 

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