Question

What is the order of rotational symmetry of this octagon?

• A. 4

Answer 1

The correct option is A 4
This is NOT a regular octagon, so it does not look the same after a rotation of 45°:


It requires a rotation of ${90}^{\circ }$, before it looks the same.
Therefore, it looks the same after rotations of ${90}^{\circ }$, ${180}^{\circ }$, ${270}^{\circ }$ and on ${360}^{\circ }$ rotation, it takes back to its original position.

So, the order of rotational symmetry is 4.