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Cut it Out

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

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Tessellating Transformations

Can you find out how the 6-triangle shape is transformed in these tessellations? Will the tessellations go on for ever? Why or why not?

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Triangular Hexagons

Investigate these hexagons drawn from different sized equilateral triangles.


Stage: 2 Challenge Level: Challenge Level:1

Find all the DIFFERENT shapes that can be made by joining five equilateral triangles edge to edge.

Here's an example:

1 or 2?

You might like to use this interactivity to try out your ideas. Click the red triangle to make a new triangle appear. You can move the triangles around by dragging with your mouse. If you hover your mouse over a corner, you will see a white circle where you can click to rotate the triangle.

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