QUADRILATERALS AND ITS TYPE

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Oxford dictionary definition: A four sided figure.
Cambridge dictionary definition: A flat shape with four straight sides.


A quadrilateral is a four sided figure bounded by four line segments and four angles in a plane. 'Quad' means four and 'lateral' means sides.  
    QUADRILATERALS AND ITS TYPE
  • Consecutive or adjacent sides: Two sides of quadrilateral are consecutive, if they have a common point ( vertex ). Example: AB & BC, CD & DA etc.
  • Opposite sides: Two sides of a quadrilateral are opposite, if they have no common end-point ( vertex ). Example: AB & CD, BC & AD etc.
  • Consecutive angle: Two angles are consecutive, if they have a common arm. Example: ∠A & ∠B, ∠C & ∠D etc.
  • Opposite angles: Two angles are opposite, if they don't have a common arm. Example: ∠A & ∠C, ∠B & ∠D etc.
Angle sum property of quadrilateral

  • The sum of all the four angles of a quadrilateral is 360 degree. ∠A + ∠B + ∠C + ∠D = 360°.
Different types of quadrilaterals

    QUADRILATERALS AND ITS TYPE
  • Parallelogram: A quadrilateral is a parallelogram if its both pairs of opposite sides are parallel.
  • Rhombus: A parallelogram having all sides equal is called a rhombus.
  • Rectangle: A parallelogram whose each angle is a right angle and two pairs of  opposite sides are equal.
  • Square: A Square is a quadrilateral whose all sides are equal and each angle is a right angle.
  • Trapezium: A quadrilateral having exactly one pair of parallel sides is called trapezium. If its non-parallel sides are equal, it is called isosceles trapezium.
  • Kite: A quadrilateral is a kite if it has two pairs of equal adjacent sides and unequal opposite sides.

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