# 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 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.

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.

### 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.)