This document defines and classifies different types of polygons. It discusses simple vs complex polygons, concave vs convex polygons, and regular vs irregular polygons based on their geometric properties. It also provides names for polygons based on the number of sides, such as triangle, quadrilateral, pentagon, etc. up to polygons with 20 or more sides using Greek and Latin prefixes and suffixes.

1. Types of
Polygons

2. 1. Simple and complex polygons
• A simple polygon has only one boundary
and the sides do not cross each other,
otherwise it is a complex polygon.

3. • Simple polygon
• Complex polygon

4. 2. Concave and convex polygons
• A convex polygon has no internal angle
more than 180º and if there are any
internal angles greater than a straight
angle, then it is a concave polygon.

5. • Concave polygon
• Convex polygon

6. 3. Regular and Irregular polygons
• Regular polygon is one whose sides are all
equal and whose interior angles are all
congruent. Thus, a regular polygon is both
equilateral and equiangular. If, otherwise, the
polygon is said to be irregular polygon.

7. • Regular polygon

9. • Irregular polygon

10. • Irregular polygon

11. NAMES OF
POLYGONS

12. • Polygons are named or classified
according to their number of
sides. A polygon with n sides is
called n-gon.

13. n (sides) Polygon
1
2 Digon
Henagon
3 Triangle, trigon
4 Quadrilateral, tetragon
5 Pentagon
6 Hexagon
7 Heptagon
8
9
Octagon
Nonagon, enneagon
10 Decagon

14. Sides Polygon
11 Hendecagon
12 Didecagon
13 Tridecagon
14 Tetradecagon
15 Pentadecagon
16 Hexadecagon
17 Heptadecagon
18 Octadecagon
19 Enneadecagon
20 Icosagon

15. • To construct a polygon’s name, combine the
corresponding prefix and suffix.
Example:
Construct the name for 28 and 46 sided
polygons.
Sides Prefix
20
Icosa
Sides Suffix
8 Octagon
Icosaoctagon

16. Sides Prefix Sides Suffix
40 tetracon 6 hexagon
Tetraconhexagon