Regular and Irregular Polygons

We will learn about different types of regular and irregular polygons and their properties.

Regular Polygons:

A polygon which has all its sides of equal length and all its angles of equal measures is called a regular polygon.


Definition of Regular Polygons:

If all the sides and angles of a polygon are equal, then the polygon is called a regular polygon.

The following figures are regular polygons.

Regular Polygons


Examples of Regular Polygons:

In the adjoining figure of an equilateral triangle ABC there are three sides i.e., AB, BC and CA are equal and there are three angles i.e., ∠ABC, ∠BCA and ∠CAB are equal.


Therefore, an equilateral triangle is a regular polygon.

Regular Polygon Equilateral Triangle

In the adjoining figure of a square ABCD there are four sides i.e., AB, BC, CD and DA are equal and there are four angles i.e., ∠ABC, ∠BCD, ∠CDA and ∠DAB are equal.


Therefore, a square is a regular polygon.

Regular Polygon Square


In the adjoining figure of a regular pentagon ABCDE there are five sides i.e., AB, BC, CD, DE and EA are equal and there are five angles i.e., ∠ABC, ∠BCD, ∠CDE, ∠DEA and ∠EAB are equal.


Therefore, a regular pentagon is a regular polygon.

Regular Pentagon

Irregular polygons (Non-Regular Polygons):

A polygon which has all its sides of unequal length and all its angles of unequal measures is called an irregular polygon or non-regular polygons.


Definition of Irregular Polygons:

A polygons is called a non-regular or irregular polygon, if all the sides are not equal.


The following figures are irregular polygons.

Irregular Polygons


Examples of Irregular Polygons:

In the adjoining figure of a scalene triangle ABC there are three sides i.e., AB, BC and CA are unequal and there are three angles i.e., ∠ABC, ∠BCA and ∠CAB are unequal.

Therefore, a scalene triangle is an irregular polygon.

Irregular Polygon Scalene Triangle

In the adjoining figure of a rectangle ABCD there are four sides i.e., AB, BC, CD and DA where the opposite sides are equal i.e., AB = CD and BC = AD. So, all the sides are not equal to each other.

Similarly, among the four angles i.e., ∠ABC, ∠BCD, ∠CDA and ∠DAB where the opposite angles are equal i.e., ∠ABC = ∠CDA and ∠BCD = ∠DAB. So, all the angles are not equal to each other.

Therefore, a square is an irregular polygon.

Irregular Polygon Rectangle

In the adjoining figure of an irregular hexagon ABCDEF there are six sides i.e., AB, BC, CD, DE, EF and FA are equal and there are six angles i.e., ∠ABC, ∠BCD, ∠CDE, ∠DEF, ∠EFA and ∠FAB are equal.


Therefore, an irregular hexagon is an irregular polygon.

Irregular Polygon Irregular Hexagon

You might like these

Polygons

Polygon and its Classification

Terms Related to Polygons

Interior and Exterior of the Polygon

Convex and Concave Polygons

Regular and Irregular Polygon

Number of Triangles Contained in a Polygon

Angle Sum Property of a Polygon

Problems on Angle Sum Property of a Polygon

Sum of the Interior Angles of a Polygon

Sum of the Exterior Angles of a Polygon



7th Grade Math Problems 

8th Grade Math Practice 

From Regular and Irregular Polygon to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 5th Grade BODMAS Rule Worksheet | PEMDAS | Order of operations|Answers

    Apr 03, 25 03:11 PM

    5th Grade BODMAS Rule Worksheet
    In 5th Grade BODMAS Rule Worksheet you will get different types of problems on mathematical expressions involving different operations, mathematical expression with 'brackets' and 'of' and simplifying…

    Read More

  2. Worksheet on Simplification | Simplify Expressions | BODMAS Questions

    Apr 03, 25 02:58 PM

    Worksheet on Simplification
    In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet

    Read More

  3. Divisible by 2 Video |Test of Divisibility by 2 Trick| Rules| Examples

    Apr 03, 25 10:25 AM

    Divisible by 2
    A number is divisible by 2 if the digit at unit place is either 0 or multiple of 2. So a number is divisible by 2 if digit at its units place is 0, 2, 4, 6 or 8.

    Read More

  4. BODMAS Rule | Order of Operation | Definition, Examples, Problems

    Apr 03, 25 10:22 AM

    What is BODMAS Rule in Math?
    Easy and simple way to remember BODMAS rule!! B → Brackets first (parentheses) O → Of (orders i.e. Powers and Square Roots, Cube Roots, etc.) DM → Division and Multiplication

    Read More

  5. Before and After Video | Math Worksheets on Number | Before and After

    Apr 03, 25 12:44 AM

    before and after number worksheet
    Free math worksheets on numbers before and after help the kids to check how much they are good at numbers. The purpose of this math activity is to help your child to say a number in order and also hel

    Read More

Polygons - Worksheets

Worksheet on Polygon and its Classification

Worksheet on Interior Angles of a Polygon

Worksheet on Exterior Angles of a Polygon