Math՚s: Quadrilaterals: Concept: Four-Line Segments and Types of Quadrilaterals (For CBSE, ICSE, IAS, NET, NRA 2022)

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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. .

Concept of Quadrilaterals
  • 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

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 with and & .
  • Rectangle: A rectangle is a parallelogram in which all the four internal angle measure . In fig (5) , is a rectangle with and and .
  • Square: A square is a rectangle whose all sides are equal. In fig (5) , is a rectangle with and & .
Types of Quadrilaterals

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