
Which are the only regular polygons to tessellate?
Number of sides | Interior angle |
Number of sides | Interior angle |
Number of sides | Interior angle |
Number of sides | Interior angle |

Important Questions on Transformations and Tessellations
Draw one more tile to continue the pattern.
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Tessellate a new region using the following shapes:

Is the picture given a tessellation?

Complete the shapes by filling the tiles.

Complete the following tiling pattern.

Ask the children to draw tessellate in the plane region using square and pentagon.

Put a on the shape that tessellates.

This pattern is based on traditional Aztec print designs.
Would you consider this a tessellation? Justify your response.

Tessellate a new region using the following shapes:

There are some shapes that cannot be used to make tiling patterns.
Why? What are they? Name them and give reasons.

Draw one more tile to continue the pattern.
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Tessellate a new region using the following shapes:

Complete the following tiling pattern.

Complete the shapes by filling the tiles.

Write the quadrants in which the following points lie:

Tessellate a new region using the following shapes:

The photo shows a detail of the Serpent Bench in the Parc Guell, in Barcelona, in the Catalonia region of Spain. The bench winds around the park's perimeter and is covered in a mosaic of ceramic tiles. It was created by the artist Antoni Gaudi, who expressed his love of natural forms in his fantastical designs. Eusebi Guell, who commissioned the work, wan ted Gaudi to represent the connection between ancient Greek symbols, Christian symbols and symbols of Catalonia.
Is this design a tessellation? Explain why or why not.

This is an example of a fractal design. In math, a fractal is an abstract object formed by a never-ending pattern repeated at increasingly small scales.
Could this shape be tessellated? Explain.

Complete the following tiling pattern.

Draw one more tile to continue the pattern.
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