Geometry: using only compasses and straightedge

What is a hexagon? It is a six sided figure.

A regular hexagon has all its angles the same and its sides the same length.

Draw a regular hexagon.

Draw a line AB. Make a circle with centre A and radius AB. (Set the compasses to width AB). Make another identical circle centre B. Where the circles join draw line AC and BC.

A regular hexagon has all its angles the same and its sides the same length.

Draw a regular hexagon.

Draw a line AB. Make a circle with centre A and radius AB. (Set the compasses to width AB). Make another identical circle centre B. Where the circles join draw line AC and BC.

Do the same to make a triangle pointing down.

Now extend the lines across the circle to meet the edges.

Join the outside points to make a hexagon.

Define and draw a hexagon.