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.

Equilateral Triangle

equilateral triangle angles

Angle: 60°

Interior angles add up to 180°

Irregular Triangle

irregular shapes triangle

Square

regular shapes square

Angle: 90°

Interior angles add up to 360°

Irregular Quadrilateral

irregular quadrilateral

Pentagon

2d shapes regular pentagon

Angle: 108°

Interior angles add up to 540°

Irregular Pentagon

irregular pentagon

Hexagon

shapes for kids regular hexagon

Angle: 120°

Interior angles add up to 720°

Irregular Hexagon

list of geometric shapes irregular hexagon

Heptagon

regular heptagon

Angle: 128.6°

Interior angles add up to 900°

Irregular Heptagon

geometric shapes irregular heptagon

Octagon

2d shape regular octagon

Angle: 135°

Interior angles add up to 1080°

Irregular Octagon

geometric shapes irregular octagon

Nonagon

2 dimensional shapes regular nonagon

Angle: 140°

Interior angles add up to 1260°

Irregular Nonagon

irregular nonagon

Decagon

regular shapes decagon

Angle: 144°

Interior angles add up to 1440°

Irregular Decagon

shapes for kids irregular decagon

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

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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