Pronunciation: /kaɪt/ Explain
Click on the blue points and drag them to change the figure.|
|Manipulative 1 - Kite Created with GeoGebra.||
A kite is a quadrilateral with two sets of
Click on the blue points in manipulative 1 and drag them to change the
Properties of a Kite
- All kites are quadrilaterals.
- The area of a kite is
where p is the length of one diagonal and q is the
length of the other diagonal. See manipulative 1.
of a kite are
of a kite are congruent.
- An incircle can be inscribed into any convex kite.
- One of the diagonals of a convex kite divides the kite into two
The other diagonal of a convex kite divides the kite into
two congruent triangles.
Construction of the Incircle of a Kite
|1||Start with a convex kite.|
|2||Construct the angular bisector of one of the angles connecting congruent sides.|
|3||Construct the angular bisector of one of the angles connecting non-congruent sides.|
|4||Label the intersection of bisectors from steps 2 and 3 as O.|
|5||Construct a line through O perpendicular to one of the sides.|
|6||Label the intersection of the line constructed in step 5 with the side to which it is perpendicular as P.|
|7||Construct a circle with center O and radius OP.|
Geometric Figure Made with Kites
This tessellation using kites is called a
deltoidal trihexagonal tiling.
To construct this tessellation, divide each hexagon into six kites by
drawing a segment from the midpoint of each side to the center. Then
tesselate the divided hexagon so that three hexagons share each vertex.
A deltoidal icositetrahedron is a polyhedron whose faces are
kites. Click to print a
net of a deltoidal icositetrahedron
to cut out and paste together.
A deltoidal hexecontrahedron is a polyhedron whose faces are kites.
- McAdams, David E.. Kite. lifeisastoryproblem.com. Life is a Story Problem LLC. 8/7/2018. http://www.lifeisastoryproblem.com/explore/kite.html.
Cite this article as:
McAdams, David E. Kite. 8/29/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/k/kite.html.
8/29/2018: Corrected spelling. (McAdams, David E.)
8/7/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
3/4/2010: Added "References", Geometric figure made from kites. (McAdams, David E.)
12/13/2008: Added vocabulary links, properties of a kite, and construction of the incircle of a kite. (McAdams, David E.)
9/16/2008: Initial version. (McAdams, David E.)