Quadrilaterals are polygons with four sides.

Types of quadrilaterals

The table summarises the types and properties of quadrilaterals:

 

Name
Properties
Diagram

Trapezium

  • One pair of parallel sides

Y10_Quadrilaterals_01.gif

Isosceles trapezium

  • One pair of parallel sides
  • Other two sides equal in length
  • Diagonals equal in length
  • Base angles are equal
Y10_Quadrilaterals_02.gif

Cyclic Quadrilateral

  • All four vertices lie on the circumference of a circle
Y10_Quadrilaterals_03.gif

Kite

  • Two pairs of adjacent sides equal
  • Diagonals intersect at right angles
Y10_Quadrilaterals_04.gif

Arrowhead

  • Two pairs of adjacent sides equal
  • One interior angle is reflex (bigger than 180°)
Y10_Quadrilaterals_05.gif

Parallelogram

  • Opposite sides are parallel and equal
  • Opposite angles are equal
  • Diagonals bisect each other
Y10_Quadrilaterals_06.gif

Rhombus

  • Opposite sides are parallel
  • All sides are equal in length
  • Opposite angles are equal
  • Diagonals bisect each other at right angles
Y10_Quadrilaterals_07.gif

Rectangle

  • Diagonals bisect each other
  • All angles are right angles
  • Opposite sides parallel and equal
Y10_Quadrilaterals_08.gif
Square
  • Opposite sides are parallel
  • All sides are equal in length
  • All angles are right angles
  • Diagonals bisect at right angles
Y10_Quadrilaterals_09.gif