Tessellations in Geometry 1

Welcome to Math Salamanders Tessellations in Geometry sheets.

Here you will find a wide range of free printable tessellation sheets to support learning in geometry.

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Tessellations in Geometry

Here you will find our selection of Geometrical Tessellation sheets. These fun sheets will let you explore the world of tessellating shapes and create your own geometric patterns to color in.

Using these sheets will help your child to:

  • understand what a tessellation is;
  • manipulate 2d shapes to try to find a way to fit them together;
  • create and explore patterns with 2d shapes.

What is a Tessellation?

A tessellation is a repeated pattern or arrangement of 2d shapes that can fill any 2d space with no gaps or overlapping edges. Tessellations can be made from single shapes on their own or using a range of shapes.

When we say that a particular 2d shape can tessellate, we mean that it can fill any 2d space with no gaps or overlapping edges on its own without needing to add any other 2d shape to fill up the gaps.

Here is an example of a tessellating pattern made from equilateral triangles:

Tessellating triangles

Here is an example of a shape which does not tessellate. The pentagons are unable to fill up the space below on the page without leaving gaps.

Non-tessellating pentagons

The tessellation sheet below explains all about tessellation in a little more detail.

Regular Tessellations

A regular tessellation is a regular polygon that tessellates. There are only 3 regular polygons which tessellate.

The sheets below contain a regular tessellation activity to see which regular polygons tessellate.

Does it Tessellate?

Tessellating Patterns

Have fun continuing these tessellating patterns. These patterns look fantastic when colored in!

More Tessellating Patternss

These tessellation sheets are more complicated than those on this page.

Using these sheets will help your child to:

  • understand what a tessellation is;
  • create and explore more complex patterns with 2d shapes.

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Symmetry Worksheets

Here is our selection of free printable symmetry worksheets for 2nd and 3rd grade.

The sheets are all graded in order from easiest to hardest.

Using these sheets will help your child to:

  • learn how to reflect simple shapes in a horizontal or vertical mirror line;
  • learn how to reflect simple shapes in 2 mirror lines.

All the sheets in this section support Elementary Math Benchmarks.

Geometry Formula Sheet

Here you will find a support page packed with a range of geometric formula.

Included in this page are formula for:

  • areas and volumes of 2d and 3d shapes
  • interior angles of polygons
  • angles of 2d shapes
  • triangle formulas and theorems

This page will provide a useful reference for anyone needing a geometric formula.

Triangle Formulas

Here you will find a support page to help you understand some of the special features that triangles have, particularly right triangles.

Using this support page will help you to:

  • understand the different types and properties of triangles;
  • understand how to find the area of a triangle;
  • know and use and apply Pythagoras' Theorem.

All the free printable geometry worksheets in this section support the Elementary Math Benchmarks.

Printable Shape Sheets - 2D & 3D Shape Sheets

Here you will find a selection of printable 2d and 3d shape sheets.

Each sheet is available in color or black and white, and labelled or unlabelled.

Using these sheets will help your child to:

  • recognise and name a range of 2d and 3d shapes;
  • recognise regular and irregular shapes.



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