Rhombus

Pronunciation: /ˈrɒm bəs/ Explain

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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 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.. www.archive.org. Silver, Burdett & Company. 1897. Last Accessed 12/31/2009. http://www.archive.org/stream/elementsofconstr00noetrich#page/24/mode/1up. Buy the book
  2. Convex. ams.org. Geometry Glossary. American Mathematical Society. Last Accessed 2/5/2010. http://www.ams.org/featurecolumn/archive/geometry-glossary.html.

Cite this article as:

McAdams, David E. Rhombus. 5/5/2011. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/r/rhombus.html.

Image Credits

Revision History

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

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