Definition: A quadrilateral with two distinct pairs of equal adjacent sides.
A kite-shaped figure.
Try this Drag the orange dots on each vertex to reshape the kite. Notice how AB and AD are always congruent (equal in length) as are BC and DC.

Image courtesy Nothridge Schools
A kite is a member of the quadrilateral family, and while easy to understand visually, is a little tricky to define in precise mathematical terms. It has two pairs of equal sides. Each pair must be adjacent sides (sharing a common vertex) and each pair must be distinct. That is, the pairs cannot have a side in common.

Drag all the orange dots in the kite above, to develop an intuitive understanding of a kite without needing the precise 'legal' definition.

Properties of a kite

Concave kites

If either of the end (unequal) angles is greater than 180°, the kite becomes concave. Although it no longer looks like a kite, it still satisfies all the properties of a kite. This shape is sometimes called a dart. To see this, in the figure above drag point A to the right until is passes B.

Other polygon topics


Types of polygon

Area of various polygon types

Perimeter of various polygon types

Angles associated with polygons

Named polygons