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)

Question

asked Sep 21, 2023 176k views

1 Answer

Andre Rodrigues · Answer 1 · 2023-09-27T04:43:57+0000

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.