Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.
What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.
The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?
Can you find the area of a parallelogram defined by two vectors?
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...
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
