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.
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
All the printable Geometry worksheets in this section support the Elementary Math Benchmarks.
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Follow these 3 easy steps to get your worksheets printed out perfectly!
How to Print or Save these sheets
Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!
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