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The Frieze Tree

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Some local pupils lost a geometric opportunity recently as they surveyed the cars in the car park. Did you know that car tyres, and the wheels that they on, are a rich source of geometry?

Reflecting Squarely

Stage: 3 Challenge Level: Challenge Level:1

The three shapes below can be fitted together (edge to edge, with no overlaps) to make shapes with line symmetry.


Can you find all possible solutions? (There are more than six.)

How can you be sure you've found them all?

Here are some further questions to explore:

Design your own set of three shapes, with a total area of 10 square units, as above.
How many ways can they be arranged to make symmetrical shapes?

Can you find a set of three such shapes which can be arranged into more symmetrical shapes than those in the original problem?

Can you find three such shapes which can never be arranged to make a symmetrical shape?

You may wish to print copies of the shapes. 

This problem is based on one found in the Dime "Line Symmetry A" pack, produced by Tarquin Publications

Click here for a poster of this problem