an 8 car ferris wheel is shaped like a regular octagon does the ferris wheel have rotational symmetry? explain.

Yes, the ferris wheel has rotational symmetry because it can be rotated by certain angles (45, 90, 135, etc.) and still maintain its original shape. Each rotation of the ferris wheel by an angle of 45 degrees would align each of the eight sides with their respective locations before the rotation. This means that the ferris wheel has an order-8 rotational symmetry, meaning it can be rotated by multiples of 45 degrees (up to 360 degrees) and still maintain its original shape.