Can you mark 4 points on a flat surface so that there are only two different distances between them?
A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?
A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...
Construct this design using only compasses
Can you work out the fraction of the original triangle that is covered by the inner triangle?
Construct a line parallel to one side of a triangle so that the triangle is divided into two equal areas.