Explain how the thirteen pieces making up the regular hexagon shown
in the diagram can be re-assembled to form three smaller regular
hexagons congruent to each other.
A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the blue square.
Triangular Tantaliser
Age 11 to 14 Challenge Level
Here is an interactive environment that you could use with your students to record their findings:
You might need to show more than one triangle on each diagram.