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If you cut a square diagonally from corner to corner you get four right-angled isosceles triangles.

You may only fit long sides to long sides and short sides to short sides.

How many different shapes can you make by fitting the four triangles back together?

You may only fit long sides to long sides and short sides to short sides.

The whole length of the side must be joined.

Record what you do on squared paper.

You could use this interactivity to try out your ideas.