Types Of Polygon

Before we start learning about types of polygon, let us first learn the definition of a polygon. A polygon is a closed shape or figure that has a minimum of three sides. The term ‘poly’ means ‘many’ and ‘gon’ means ‘angle’. Thus, polygons have many angles. Apart from these, polygons also have other properties such as area and perimeter. Learn all its types along with examples and diagrams.

Definition of Polygon

In other words, a two-dimensional shape which is enclosed by a finite number of straight lines joining in the form of a closed-loop is called a polygon. The line segments which make the polygon are known as polygon’s sides or edges. Whereas the corner or the point where any two sides join is called vertex of the polygon. Now, based on the number of sides and angles, polygons are classified into different types, which we are going to discuss here.

Classification of Polygons

Polygons are classified into various types based on the number of sides and measures of the angles. They are:

  • Regular Polygons
  • Irregular Polygons
  • Concave Polygons
  • Convex Polygons
  • Quadrilateral Polygons
  • Pentagon Polygons

Let us discuss them one by one.

Regular Polygon

In a regular polygon, all the sides of the polygon are equal and all the interior angles are the same.

Examples:

  • A square having all its sides equal to 5cm and all the angles are at 90°.
  • An equilateral triangle has all three sides equal to 10cm and angles measure to 60°.

Regular Polygon

Irregular Polygon

A polygon that has an irregular shape, that means, the sides and angles of the polygon are not equal.

Example:

  • A quadrilateral which has all its sides unequal.
  • An isosceles triangle has only two of its sides equal and the third side has a different measurement.

Irregular Polygon

Convex Polygon

In a convex polygon, the measure of the interior angle is less than 180 degrees. It is exactly opposite to the concave polygon. The vertices of a convex polygon are always outwards.

Example: See the figure of an irregular hexagon, whose vertices are outwards.

Convex polygon

Concave Polygon

In a concave polygon, at least one angle measures more than 180 degrees. The vertices of a concave polygon are inwards as well as outwards.

Concave polygon

Quadrilateral Polygon

Quadrilateral polygon is also called a four-sided polygon or a quadrangle. The different types of the quadrilateral polygon are square, rectangle, rhombus and parallelogram.

Quadrilateral Polygon

Pentagon Polygon

The five-sided polygon is called pentagon polygon. When all the five sides of the polygon are equal in length, then it is called regular pentagon otherwise irregular pentagon.

Pentagon Polygon

Types of Polygon Chart

Now let us discuss, types of regular polygon according to the number of sides and measurement of angles.

Name of the Polygons

Sides

Vertices

Angle

Triangle (also called Trigon)

3

3

60°

Quadrilateral (also called Tetragon)

4

4

90°

Pentagon

5

5

108°

Hexagon

6

6

120°

Heptagon

7

7

128.571°

Octagon

8

8

135°

Nonagon (also called Enneagon)

9

9

140°

Decagon

10

10

144°

n-gon

n

n

(n-2)× 180° / n

All the shapes of the polygon from triangle to decagon are given here in the below figures, respectively.

Types of regular polygon

These are basic types of regular polygons which we see in our daily life. Also, these polygons have certain properties based on their area, perimeter, diagonals, etc.