Diagonal of a Polygon

Pronunciation: /daɪˈæ.gə.nl ʌv ə ˈpɒl.iˌgɒn/ Explain

Examples and non-examples of diagonals.
Figure 1: Examples of diagonals

A diagonal of a polygon or a polyhedron is a line between any two vertices of a polygon or polyhedron that are not adjacent.[3]

For the diagonal of a matrix, see Diagonal of a matrix.


  1. McAdams, David E.. All Math Words Dictionary, diagonal. 2nd Classroom edition 20150108-4799968. pg 59. Life is a Story Problem LLC. January 8, 2015. Buy the book
  2. diagonal. merriam-webster.com. Encyclopedia Britannica. Merriam-Webster. Last Accessed 7/3/2018. http://www.merriam-webster.com/dictionary/diagonal. Buy the book
  3. Hilbert, David. The Foundations of Geometry. pg 28. Translated by Townsend, E. J., Ph. D.. The Open Court Publishing Company. 1950. Last Accessed 7/3/2018. http://www.gutenberg.org/files/17384/17384-pdf.pdf. Buy the book
  4. Beman, Wooster Woodruff; and Smith, David Eugene. New Plane and Solid Geometry. pg 22. www.archive.org. Ginn & Company. 1899. Last Accessed 7/3/2018. http://www.archive.org/stream/newplaneandsoli02smitgoog#page/n37/mode/1up/search/diagonal. Buy the book

Cite this article as:

McAdams, David E. Diagonal of a Polygon. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/d/diagonal.html.

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Revision History

12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
7/4/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
1/23/2010: Added "References". (McAdams, David E.)
1/28/2009: Added reference to diagonal to a matrix. (McAdams, David E.)
6/7/2008: Corrected spelling. (McAdams, David E.)
5/1/2008: Initial version. (McAdams, David E.)

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