Angles, Polygons and Geometrical Proof (age 11-14)

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Can you find triangles on a 9-point circle? Can you work out their angles?

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

How many questions do you need to identify my quadrilateral?

Join pentagons together edge to edge. Will they form a ring?

We started drawing some quadrilaterals - can you complete them?

Can you work out how these polygon pictures were drawn, and use that to figure out their angles?

Take an equilateral triangle and cut it into smaller pieces. What can you do with them?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

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...

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?

Can you recreate squares and rhombuses if you are only given a side or a diagonal?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.