Pronunciation: /ˈpɒl iˌgɒn/ Explain
A polygon is an n-sided
figure in a plane. Each
of the sides of a polygon is a
line segment. Since a polygon is closed,
each of the line segments is connected to another at both ends. Examples of polygons are
rectangles, and pentagons. An n-sided polygon is called an n-gon.
Parts of a polygon
Illustration 1: Parts of a polygon.
- Each of the line segments that define the polygon is called a
side or less commonly, an
- A point where two sides of the polygon meet is called a
- Everything inside the polygon is called the
- Everything outside the polygon is called the
at a vertex on the inside of the polygon is called an interior angle.
Properties of polygons
line segments - The edges of polygons are straight line segments. Each
line segment is connected to the other line segments at its endpoints.
- Polygons are closed figures. A pencil placed on one point on the edge
of the polygon and traced around the edge will return to the same point without retracing.
- Polygons are all in one piece.
- A polygon can be concave or convex. A polygon is convex if a line segment drawn between any
two points in the polygon remains within the polygon.
- A polygon can be simple or complex. In a simple polygon, none of the edges cross.
A regular polygon
is a polygon that is
Types of polygons
- McAdams, David E. Regular Polygon. allmathwords.org. Life is a Story Problem LLC. 3/12/2009. http://www.allmathwords.org/en/r/regularpolygon.html.
Cite this article as:
McAdams, David E. Polygon. 4/29/2011. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/p/polygon.html.
12/31/2009: Added "References". (McAdams, David E.)
9/3/2008: Expanded 'More Information'. (McAdams, David E.)
7/12/2007: Initial version. (McAdams, David E.)