Rhombus

Pronunciation: /ˈrɒm.bəs/ Explain

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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 sum 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. McAdams, David E.. All Math Words Dictionary, rhombus. 2nd Classroom edition 20150108-4799968. pg 156. Life is a Story Problem LLC. January 8, 2015. Buy the book
  2. 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
  3. 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. 5/2/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/r/rhombus.html.

Image Credits

Revision History

5/2/2019: Changed equations and expressions to new format. (McAdams, David E.)
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.)

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