# A Kite and its properties

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# 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

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.
• 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 ?