Rotational Symmetry (of Regular Polygons)
Regular Polygons
Set your shape to a regular pentagon (with 5 sides). What are its angles of rotational symmetry?
Set your shape to a regular hexagon (with 6 sides). What are its angles of rotational symmetry?
Set your shape to a regular octagon (with 8 sides). What are its angles of rotational symmetry?
Set your shape to a regular nonagon (with 9 sides). What are its angles of rotational symmetry?
Look at those angles...
What is the relationship you see between the number of angles of rotational symmetry and the number of sides?
What is the relationship you see between the angles of rotational symmetry for a particular shape?
Like:
What do you think you see as a rule you could use to find angles of rotational symmetry?