# Math's: Quadrilaterals: Concept: Four-Line Segments and Types of Quadrilaterals

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## Concept of Quadrilaterals

A closed figure bounded by four-line segments is called a quadrilateral.

If and are four non collinear points in a plane and the line segments and do not intersect except at their end points, then the closed figure made up of these four line segments is called a quadrilateral with vertices and . A quadrilateral with vertices and is generally denoted by quad. .

and ; and are two pairs of opposite sides.

and ; and are two pairs of opposite angles.

and ; and are two pairs of consecutive or adjacent sides

and ; and are two pairs of consecutive or adjacent angles.

and are the two diagonals.

## Types of Quadrilaterals

**Trapezium:**A quadrilateral which has only one pair of opposite sides parallel is called a trapezium. In Fig (1), is a trapezium with sides .**Kite:**A quadrilateral in which both the pair of adjacent sides are of equal length is called a Kite. In Fig (2), PQRS is a kite with and .**Parallelogram:**A quadrilateral in which both the pairs of opposite sides are parallel to each other is called a parallelogram. In fig (3), is a parallelogram with and .**Rhombus:**A rhombus is a parallelogram in which all the sides are equal. In fig (4), is a rhombus withand & .**Rectangle:**A rectangle is a parallelogram in which all the four internal angle measure . In fig (5), is a rectangle withand and .**Square:**A square is a rectangle whose all sides are equal. In fig (5), is a rectangle withand & .