Rotational Symmetry (of 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?

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 the angles of rotational symmetry for a regular pentagon have in common?
• What do the angles of rotational symmetry for a regular nonagon have in common?
• etc.

What do you think you see as a rule you could use to find angles of rotational symmetry?