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'Matching Triangles' printed from http://nrich.maths.org/

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These triangles belong to three different families.

triangles

All the triangles in the same family are the same shape.
But they may not be the same size or the same way up.
 
Can you sort them out and explain how you did it?

You may want to use this interactivity to sort the triangles:

This text is usually replaced by the Flash movie.

Or you could print off pictures of the triangles (here as a Word document or here as a pdf), then cut them out and sort them practically.