A polygon is a closed two-dimensional shape.
It is a simple curve that is made up of straight line segments called edges.
It usually has at least three sides and three corners, called vertices, or more.
It could also be referred to as 'A closed plane figure bound by three or more straight line segments'.
A square is a type of polygon with four edges.
The smallest possible polygon in a Euclidean geometry or "flat geometry" is the triangle, but on a sphere, there can be a digon and a henagon.
If the edges of the polygon do not cross each other, the polygon is called simple, otherwise it is complex.
In computer graphics, polygons (especially triangles) are often used to make graphics.
(care of simple.wikipedia.org)
Properties of Regular Polygons
| Number of sides | Name | Order of Rotational Symmetry | Number of lines of Reflective Symmetry | Total Interior Angles /° | Interior Angles /° | Exterior Angle /° |
|---|---|---|---|---|---|---|
| 3 | Equilateral Triangle |
3rd | 3 | 180 | 60 | 120 |
| 4 |
|
4th | 4 | 360 | 90 | 90 |
| 5 | Regular Pentagon |
5th | 5 | 540 | 108 | 72 |
| -sided regular polygon |
Note:
Interior and Exterior Angles
(Care of mathmonks.com)
Interior Angles of Polygons
(Care of www.mathsisfun.com)
Triangles
Regular Pentagons
& the Golden Ratio
List of polygons
Videos, notes and Worksheets:
- physicsandmathstutor.com
- Notes on Properties of Triangles and Quadrilaterals
- - Worksheet
- www.mathsgenie.co.uk
- Angles in Polygons Video
- - Notes
- Polygons Video:
- Practice Questions;
- Practice Questions;
- Textbook Exercise
- Angles: quadrilaterals Video:
- Practice Questions;
- Textbook Exercise.
- Angles: triangle Video:
- Practice Questions;
- Textbook Exercise.
- (Care of corbettmaths.com)
- mrbartonmaths.com
- Angles in triangles
Equilateral Triangle
Regular Pentagon