Rhombus

Pronunciation: /ˈrɒm bəs/ ?

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)
Manipulative 1: Rhombus. Created with GeoGebra.

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 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 LLC. http://www.allmathwords.org/en/r/rhombus.html.

Translations

Image Credits

Revision History


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

All Math Words Encyclopedia is a service of Life is a Story Problem LLC.
Copyright © 2005-2011 Life is a Story Problem LLC. All rights reserved.
Creative Commons License This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License