A Kite and its properties

From Karnataka Open Educational Resources

A Kite and its properties

Learning objectives

  1. A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.
  2. The two pairs of congruent sides meet at two different points.
  3. A kite can also be described as a quadrilateral with an axis of symmetry along one of its diagonals.
  4. Kites have a couple of properties that will help us identify them from other quadrilaterals.
  • The diagonals of a kite meet at a right angle.
  • Kites have exactly one pair of opposite angles that are congruent.
  • Diagnols intersect at right angles.

<K = <M. This is the only pair of congruent angles because <J and <L have different measures.


Notes for teachers

Source : http://www.ask.com/question/what-is-a-kite-in-geometry
Summary :

  1. A kite is sometimes also known as a deltoid.
  2. A kite, may be either convex or concave, but the word "kite" is often restricted to the convex variety. A concave kite is sometimes called a "dart" or "arrowhead".

Activity No # 1. Paper kite

  • Estimated Time: 30 minutes.
  • Materials/ Resources needed :
  1. A4 sheet of paper.
  • Prerequisites/Instructions, if any
  1. Neat paper folding skills.
  2. Ability to follow instructions.
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets

This activity has been taken from the website : http://www.transum.org/software/Fun_Maths/kite/

  • Process:
  1. Fold an A4 sheet of paper as shown in the figures to make a kite.


  • Developmental Questions:
  1. Which is the figure formed ?
  2. What is special about this quadrilateral ?
  3. How many sides does a kite have ?
  4. Are all sides equal ?
  5. Mark the diagnols ? What do you notice about them ?
  • Evaluation:
  1. Were the students able dto recognise the properties of a kite.
  • Question Corner
  1. Compare kite with other quadrilaterals and make a list of similarities and differences between them.