Quadrilaterals

5 minQuiz at the end

What is a Quadrilateral?

A quadrilateral is any polygon with four sides. The sum of interior angles in any quadrilateral = 360Β°.

Types of Quadrilaterals

Square

  • All 4 sides equal
  • All angles = 90Β°
  • 4 lines of symmetry
  • Diagonals equal, bisect at right angles

Rectangle

  • Opposite sides equal and parallel
  • All angles = 90Β°
  • 2 lines of symmetry
  • Diagonals equal, bisect each other

Parallelogram

  • Opposite sides equal and parallel
  • Opposite angles equal
  • No lines of symmetry (in general)
  • Diagonals bisect each other

Rhombus

  • All 4 sides equal
  • Opposite angles equal
  • 2 lines of symmetry
  • Diagonals bisect at right angles

Trapezium

  • Exactly one pair of parallel sides
  • Area = Β½(a + b) Γ— h

Kite

  • Two pairs of adjacent sides equal
  • One pair of opposite angles equal
  • 1 line of symmetry
  • Diagonals perpendicular, one bisects the other

Hierarchy

Every square is a rectangle, rhombus, and parallelogram. Every rectangle and rhombus is a parallelogram.