Rotational Symmetry of Regular Polygons

Does the EQUILATERAL TRIANGLE rotate onto itself when rotated at 90°?

Choose the list that includes all Rotational Symmetries for an EQUILATERAL TRIANGLE. (Angles at which it lines up with the original triangle)

Does the SQUARE have 90° rotational symmetry?

Choose the list that includes all Rotational Symmetries for a SQUARE. (Angles at which it lines up with the original square)

Does a REGULAR PENTAGON have 90° rotational symmetry?

Choose the list that includes all Rotational Symmetries for a REGULAR PENTAGON. (Angles at which it lines up with the original pentagon)

Does a REGULAR Hexagon have 90° rotational symmetry?

Choose the list that includes all Rotational Symmetries for a REGULAR Hexagon. (Angles at which it lines up with the original pentagon)

Does a REGULAR OCTAGON have 90° rotational symmetry?

Choose the list that includes all Rotational Symmetries for a Regular Octagon.

Chris thinks he found a trick where if you divide 360 degrees (a full rotation) by the number of sides a regular polygon has, you'll get the angle of rotation. If so, find an example where this is true. If not, find an example where this trick doesn't work.