Pronunciation: /kloʊzd/ Explain
A geometric figure is closed if the entire
boundary of the figure is part of the figure.
|Figure 1: An open geometric figure||
The clearest example of this is a graph of inequalities. Figure 1 is the graph of
a system of inequalities. The points on the line
y < 3 - x
is part of the boundary. However, since the inequality
y < 3 - x does not
include the points on the line, the shaded geometric figure is not closed.
|Figure 2: A closed geometric figure||
In figure 2, the inequality y ≤ 3 - x
does include the points on the line, so the shaded geometric figure is
- McAdams, David E.. All Math Words Dictionary, closed. 2nd Classroom edition 20150108-4799968. pg 34. Life is a Story Problem LLC. January 8, 2015. Buy the book
- closed. merriam-webster.com. Encyclopedia Britannica. Merriam-Webster. Last Accessed 6/25/2018. http://www.merriam-webster.com/dictionary/closed. Buy the book
- McAdams, David E.. Open. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 6/27/2018. https://www.allmathwords.org/en/g/g_open.html.
Cite this article as:
McAdams, David E. Closed (Geometry). 4/13/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/c/closed_g.html.
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (McAdams, David E.)
8/2/2008: Added dictionary.com to More Information (McAdams, David E.)
7/12/2007: Initial version. (McAdams, David E.)