# A Kite and its properties

From Karnataka Open Educational Resources

# A Kite and its properties

### Learning objectives

- A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.
- The two pairs of congruent sides meet at two different points.
- A kite can also be described as a quadrilateral with an axis of symmetry along one of its diagonals.
- 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 :

- A kite is sometimes also known as a deltoid.
- 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 :

- A4 sheet of paper.

- Prerequisites/Instructions, if any

- Neat paper folding skills.
- 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:

- Fold an A4 sheet of paper as shown in the figures to make a kite.

- Developmental Questions:

- Which is the figure formed ?
- What is special about this quadrilateral ?
- How many sides does a kite have ?
- Are all sides equal ?
- Mark the diagnols ? What do you notice about them ?

- Evaluation:

- Were the students able dto recognise the properties of a kite.

- Question Corner

- Compare kite with other quadrilaterals and make a list of similarities and differences between them.