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This activity investigates how you might make squares and pentominoes from Polydron.

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A Cartesian Puzzle

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

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Symmetry Challenge

Systematically explore the range of symmetric designs that can be created by shading parts of the motif below. Use normal square lattice paper to record your results.

Coordinate Challenge

Stage: 2 Challenge Level: Challenge Level:1

It might help to read through each clue in turn and make a note of which letters could be at those positions.
If you're not able to use the interactivity, how about printing out this sheet and then cutting out the letters so you can move them around the grid?
What different types of symmetry do you know about? Which letter is the only one not to have any symmetry at all? How does that help you?