A Kite and its properties

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

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• 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.