A polygon is a closed figure made up of 3 or more line segments.
Above are a few examples of figures that are polygons.
A figure is not a polygon if:
It is an open figure.
The sides of the figure overlap.
It has a side that is not a line segment.
Polygons can be named by the number of sides they have. Here are some examples:
The interior angles of a polygon sum to (n – 2)180 degrees, where n is the number of sides.
The above figure has 6 sides, so:
(6 - 2)180 = (4)180 = 720
It has 720 degrees.
For any polygon, all exterior angles sum to 360 degrees.
All of the green angles of this polygon sum to 360 degrees.
A regular polygon is a polygon where every side is equal to one another, and every angle is equal to one another.
Below are two examples of regular polygons: