Properties of Kite

• Kite


  • Quadrilateral in which exactly one diagonal is the perpendicular bisector of the other diagonal
  • Has two pairs of consecutive congruent sides
  • Opposite sides are not congruent
• Diagonal of a kite

  Perpendicular to each other
• Opposite angles of a kite

  Exactly one pair are congruent
• Diagonals of a kite

  Bisect each other
• Area of a kite

  One half the product of the lengths of the two diagonals
• Kite JKLM


  • Diagonal KM is perpendicular to JL
  • Opposite congruent angles are angle JKL and angle JML
  • Diagonal JL bisects angle KJM and angle KLM
  • Diagonal JL also bisects diagonal KM
• Finding properties of a kite

  1. Identify perpendicular diagonals

  2. Identify one pair of congruent opposite angles

  3. Identify diagonals bisecting each other

  4. Use formula to find area
• Kite ABCD


  • Side AB = 20cm
  • Perimeter = 56cm
  • Angle ADC = 50 degrees
• Diagonal of kite ABCD forms a right angle
• Consecutive sides of kite ABCD are congruent