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. Decimal Place Value Chart |Tenths Place |Hundredths Place |Thousandths

    Jul 19, 24 03:26 PM

    Decimal place value chart
    Decimal place value chart are discussed here: The first place after the decimal is got by dividing the number by 10; it is called the tenths place.

    Read More

  2. Definition of Decimal Numbers | Decimal Part | Decimal Point |Examples

    Jul 19, 24 11:13 AM

    Decimal Numbers
    Definition of decimal numbers: We have learnt that the decimals are an extension of our number system. We also know that decimals can be considered as fractions whose denominators are 10, 100, 1000

    Read More

  3. Addition and Subtraction of Fractions | Solved Examples | Worksheet

    Jul 19, 24 02:00 AM

    Addition and subtraction of fractions are discussed here with examples. To add or subtract two or more fractions, proceed as under: (i) Convert the mixed fractions (if any.) or natural numbers

    Read More

  4. Fractions in Descending Order |Arranging Fractions an Descending Order

    Jul 19, 24 02:00 AM

    We will discuss here how to arrange the fractions in descending order. Solved examples for arranging in descending order: 1. Arrange the following fractions 5/6, 7/10, 11/20 in descending order. First…

    Read More

  5. Fractions in Ascending Order | Arranging Fractions | Worksheet |Answer

    Jul 19, 24 01:59 AM

    Comparison Fractions
    We will discuss here how to arrange the fractions in ascending order. Solved examples for arranging in ascending order: 1. Arrange the following fractions 5/6, 8/9, 2/3 in ascending order. First we fi…

    Read More

Polygons - Worksheets

Worksheet on Polygon and its Classification

Worksheet on Interior Angles of a Polygon

Worksheet on Exterior Angles of a Polygon