Rhombus

Pronunciation: /ˈrɒm bəs/ ?

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A rhombus is a four-sided polygon with opposite sides parallel and all sides the same length. Properties of a Rhombus A rhombus is equilateral. All sides are the same length. Opposite sides of a rhombus are parallel. All rhombuses are polygons All rhombuses are quadrilaterals. All rhombuses are parallelograms. Squares are special cases of a rhombus whose sides meet at right angles. The opposite angles of a rhombus are congruent. The diagonals of a rhombus bisect each other. Each diagonal bisects the rhombus into two congruent triangles. The sums of the angles of a rhombus is 360° or 2π radians. A tesselation of a plane can be created using any rhombus. The area of a rhombus is A = bh where A is the area, b is the base and h is the height.

References

1. Stöcker, K.H.. The Elements of Constructive Geometry, Inductively Presented, pg 24. Translated by Noetling, William A.M, C.E.. Silver, Burdett & Company, 1897. (Accessed: 2009-12-31). http://www.archive.org/stream/elementsofconstr00noetrich#page/24/mode/1up.
2. rhombus. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=rhombus&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
3. Convex. ams.org. Geometry Glossary. American Mathematical Society. (Accessed: 2010-02-05). http://www.ams.org/featurecolumn/archive/geometry-glossary.html.

Cite this article as:

Rhombus. 2009-12-31. All Math Words Encyclopedia. Life is a Story Problem.org. http://www.allmathwords.org/en/r/rhombus.html.

Translations

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• All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem.org and are licensed under the Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Revision History

2009-12-31: Initial version (McAdams, David.)