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Regular Shapes
Welcome to Math Salamanders Printable Regular Shapes page.
Here you will find a wide range of free printable information sheets about regular and
irregular shapes, as well as some worksheets involving regular and irregular shapes.
Want to test yourself to see how much you know about regular shapes?
- Try our NEW Regular Shape quiz at the bottom of this page.
Regular Shapes
All regular 2d shapes, or regular polygons, have special properties listed below.
Regular Shapes Properties
- All regular polygons have all their sides equal length.
- All regular polygons have all their angles equal.
- All regular polygons have the same number of lines of symmetry as their sides.
Regular and Irregular Polygons
Here is a list of regular polygons from 3 to 10 sides.
For each polygon, a regular and an irregular example have been shown.
Any regular polygon will be mathematically similar to the example shown (having the same angles).
There are an infinite number of examples of different irregular polygons that could be shown, and only one example is given.
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Equilateral Triangle 
Angle: 60° Interior angles add up to 180° |
Irregular Triangle 
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Square 
Angle: 90° Interior angles add up to 360° |
Irregular Quadrilateral 
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Pentagon 
Angle: 108° Interior angles add up to 540° |
Irregular Pentagon
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Hexagon 
Angle: 120° Interior angles add up to 720° |
Irregular Hexagon 
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Heptagon 
Angle: 128.6° Interior angles add up to 900° |
Irregular Heptagon 
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Octagon 
Angle: 135° Interior angles add up to 1080° |
Irregular Octagon 
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Nonagon 
Angle: 140° Interior angles add up to 1260° |
Irregular Nonagon 
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Decagon 
Angle: 144° Interior angles add up to 1440° |
Irregular Decagon 
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The formulae for the interior angles of a polygon are as follows:
Total of interior angles = 180 x (number of sides - 2)
Angle = total of interior angles / number of sides
Regular and Irregular Shape Sheets
2D Shape Sheets - Regular Polygons
Regular Shapes - Worksheets
These worksheets involve identifying and shading the regular shapes.
More Recommended Math Worksheets
Take a look at some more of our worksheets similar to these.
Area of a Regular Polygon Calculator
We have created a calculator for finding the area of a regular polygon up to 12 sides.
There are also worked examples and worksheets to help you learn to find the area of different regular polygons.
Individual Regular Polygons Sheets
On this webpage there are different printable polygon sheets.
Each polygon is available as a large image, either with or without a background.
If you are looking for large regular shape images to print, then this is the page for you!
List of Geometric Shapes
Here you will find a List of different Geometric Shapes.
Included with each shape is a small picture and a description of the properties the shape has and how it relates to other shapes.
Included in this page are the following shapes:
- triangles
- quadrilaterals
- regular polygons
- irregular polygons
- a range of 3d shapes
Regular Shapes Online Quiz
Test your skill and knowledge of regular shapes online with our quiz and get immediate feedback.
The link below will open the quiz in a dedicated quiz page or you can preview a copy of the quiz underneath.
Our quizzes have been created using Google Forms.
At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.
This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.
For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.
We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.
We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.
For more information on the information we collect, please take a look at our Privacy Policy
We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.
Regular Shapes Online Quiz
This quick quiz tests your knowledge at identifying regular shapes and their properties.
How to Print or Save these sheets 🖶
Need help with printing or saving?
Follow these 3 steps to get your worksheets printed perfectly!
How to Print or Save these sheets 🖶
Need help with printing or saving?
Follow these 3 steps to get your worksheets printed perfectly!
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Math-Salamanders.com
The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.
If you have any questions or need any information about our site, please get in touch with us using the 'Contact Us' tab at the top and bottom of every page.
