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Identify Regular and Irregular Polygons

In this worksheet, students will distinguish between regular and irregular polygons based on reasoning about equal sides and angles.

'Identify Regular and Irregular Polygons' worksheet

Key stage:  KS 2

Year:  Year 5 Maths worksheets

Curriculum topic:   Geometry: Properties of Shapes

Curriculum subtopic:   Understand Polygons

Difficulty level:  

Worksheet Overview

In this activity, we will decide whether a polygon is regular or irregular.


The word polygon comes from the Greek language:

polús means many and gõnía means angles.


A polygon is a flat shape with straight sides that are joined to form a closed shape. It will have several angles.


Regular polygons

A regular polygon is one in which all the sides are equal in length and all the interior angles are equal in size.



A square has 4 equal sides and 4 equal angles of 90°.



A regular pentagon has 5 equal sides and 5 equal angles of 108°.



A regular octagon has 8 equal sides and 8 equal angles of 135°.



Irregular polygons

An irregular polygon is one in which either all the sides are not equal in length and/or all the interior angles are not equal in size.


 Scalene triangle

This triangle is scalene. It has sides of 3 different lengths and 3 different angles. It is irregular.


 Irregular pentagon

This pentagon has three 90° angles, but also two angles which are larger. The sides are of differing lengths. It is irregular.


Let's have a go at some questions. Remember to look carefully to see if the angles and sides are equal!


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