# Convex Polygon

Pronunciation: /kɒnˈvɛks ˈpɒl.iˌgɒn/ Explain

A polygon is a closed shape whose boundaries consist of straight lines. A shape if convex if, for any two points that are part of the shape, a straight line can not be drawn between the two points that lies outside the shape.[2]

 Figure 1: Convex polygon

Figure 1 is an example of a concave polygon. Since it is possible to pick two points within the shape and draw a line between them that leaves the shape, the shape is convex.

 Figure 2: Concave Polygon

Figure 2 is an example of a convex polygon. Note that the entire line is contained within the polygon. In fact, a line drawn between any two points that are part of the' polygon will be entirely contained within the polygon.

### References

1. McAdams, David E.. All Math Words Dictionary, convex. 2nd Classroom edition 20150108-4799968. pg 47. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. convex polygon. merriam-webster.com. Encyclopedia Britannica. Merriam-Webster. Last Accessed 6/25/2018. http://www.merriam-webster.com/dictionary/convex polygon. Buy the book
3. Beman, Wooster Woodruff; and Smith, David Eugene. New Plane and Solid Geometry. pg 54. www.archive.org. Ginn & Company. 1899. Last Accessed 6/25/2018. http://www.archive.org/stream/newplaneandsoli02smitgoog#page/n69/mode/1up/search/convex. Buy the book
4. Lyman, Elmer A.. Plane and Solid Geometry. pg 57. www.archive.org. American Book Company. 1908. Last Accessed 6/25/2018. http://www.archive.org/stream/planesolidgeomet00lymarich#page/57/mode/1up/search/convex. Buy the book

McAdams, David E. Convex Polygon. 3/9/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/convexpolygon.html.

### Revision History

3/9/2019: Removed faulty manipulative. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)