Quadrilaterals

• Quadrilateral

  A polygon with four sides, four angles, and four vertices
• Quadri

  Means four
• Latus


  Means side
• Quadrilaterals

  • Have four vertices
  • Have four sides
  • The sum of all interior angles is 360°
  • Have two diagonals
  • Can be regular or irregular
  • A regular quadrilateral has four equal sides, four equal angles, and diagonals that bisect each other
• Types of quadrilaterals

  • Parallelogram
  • Square
  • Rectangle
  • Rhombus
  • Isosceles trapezium
  • Kite
• Parallelogram


  Opposite sides are parallel, opposite sides are equal, opposite angles are equal
• Square

  All sides are equal, all angles equal and measure 90°
• Rectangle

  Opposite sides are parallel, opposite sides are equal, angles are equal and measure 90°
• Rhombus

  All sides are equal, opposite angles are equal
• Isosceles trapezium

  One pair of opposite sides are parallel, the legs are equal, the diagonals are also equal
• Kite

  Two pairs of adjacent sides are equal
• Concave quadrilateral

  At least one interior angle is greater than 180°
• Quadrilateral formulas


  • Square: Area = s²
  • Rectangle: Area = l x w
  • Parallelogram: Area = b x h
  • Rhombus: Area = ½ x d1 x d2
  • Kite: Area = ½ x d1 x d2
• Legs


  The sides that are not parallel to each other