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Classification of Polygons - Regular Polygon, Irregular Polygon, Convex Polygon, Concave Polygon, Simple Polygon and Complex Polygon

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notes

Classification of Polygons:

1. Regular and Irregular Polygon:

  • A regular polygon has all angles equal and all sides equal, otherwise, it is irregular.

  • A Regular polygon is both ‘equiangular’ and ‘equilateral’.

2. Convex and Concave Polygon:

  • A convex polygon has no angles pointing inwards. More precisely, no internal angle can be more than 180°.

  • If any internal angle is greater than 180° then the polygon is concave.

3. Simple or Complex polygon:

  • A simple polygon has only one boundary, and it doesn't cross over itself.

  • A complex polygon intersects itself! Many rules about polygons don't work when it is complex.

Classify polygons according to the number of their sides:

Number of sides

Name

Sample figure

3

Triangle

4

Quadrilateral

5

Pentagon

6

Hexagon

7

Heptagon

8

Octagon

9

Nonagon

10

Decagon

:

:

 

n

n-gon

 
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