Rhombus

Pronunciation: /ˈrɒm.bəs/ Explain

Click on the blue points and drag them to change the figure.

Can a rhombus also be a square?
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 tiling 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.. www.archive.org. Silver, Burdett & Company. 1897. Last Accessed 12/4/2018. http://www.archive.org/stream/elementsofconstr00noetrich#page/24/mode/1up. Buy the book
  2. Convex. ams.org. Geometry Glossary. American Mathematical Society. Last Accessed 12/4/2018. http://www.ams.org/featurecolumn/archive/geometry-glossary.html.

Cite this article as:

McAdams, David E. Rhombus. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/r/rhombus.html.

Image Credits

Revision History

12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
12/5/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra app. (McAdams, David E.)
8/28/2018: Corrected spelling. (McAdams, David E.)
8/7/2018: Changed vocabulary links to WORDLINK format. (McAdams, David E.)
12/31/2009: Initial version. (McAdams, David E.)

All Math Words Encyclopedia is a service of Life is a Story Problem LLC.
Copyright © 2018 Life is a Story Problem LLC. All rights reserved.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License