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.
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.