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The square below has been cut into two pieces:

square cut in two

It is possible to fit the pieces together again to make a new shape.

If you must match whole sides to each other so that the corners meet, how many new shapes can you make?

Watch out for shapes which are really the same but just turned round or flipped over.

 

You could try out your ideas using the interactivity below, or download this sheet which contains four copies of the square.