An 8 car Ferris wheel is shaped like a regular octagon. Does the Ferris wheel have rotational symmetry

Answer 1

Yes, the Ferris wheel has rotational symmetry.

An octagon has rotational symmetry of order 8, which means that it can be rotated by an angle of 45 degrees, 90 degrees, 135 degrees, 180 degrees, 225 degrees, 270 degrees, 315 degrees, or 360 degrees and still look the same.

Since the Ferris wheel is shaped like a regular octagon, it has the same rotational symmetry as an octagon. Therefore, it can be rotated by any of these angles and still look the same.