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. .

Concept of Quadrilaterals

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

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 & .

Types of Quadrilaterals

Types of Quadrilaterals

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