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# What is Quadrilateral? [Definition, Properties & Example]

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 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. • 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°.

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. ### 2. Rectangle

A rectangle properties are:

• opposite sides are equal.
• each angle is a right angle.
• diagonals are equal.
• diagonals bisect each other. ### 3. Rhombus

A rhombus properties are:

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