Types of Polygons and Naming Polygons

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