Question

If you are given a rectangle, what are the degrees of its rotational symmetry? (I need all of them between but not including 0 and 360 degrees)

Answer 1

A rectangle is an Order 2 of symmetry because it matchs its fugure only 2 times while rotating through 360 degrees.

The degrees of symmetry can be calculated as:

`\frac{360\degree}{\text{Order}}=(360\degree)/(2)=180\degree`

We see that at 180 degrees of rotation the shape is identical to the original shape.

This does not repeat for any other angle between 0 and 360 degrees.

Answer: 180 degrees.