2D shapes and their properties

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

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.

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

Are these statements always true, sometimes true or never true?

Use the isometric grid paper to find the different polygons.

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

This problem explores the shapes and symmetries in some national flags.

This problem shows that the external angles of an irregular hexagon add to a circle.

Use the information on these cards to draw the shape that is being described.