Question

Provide two different degrees of rotation less than 100°
but greater than 25°
that will rotate a regular octagon onto itself. (1 point)
A regular octagon will rotate onto itself after

Answer 1

A regular octagon has rotational symmetry and will return to its original position after a full rotation of 360°. The angles of rotation that map the octagon onto itself can be calculated by dividing 360° by the number of sides (8 for an octagon).

The angles of rotation that will map a regular octagon onto itself are:
- \(\frac{360°}{8} = 45°\)
- \(2 \times 45° = 90°\)

Thus, two different degrees of rotation that are less than 100° but greater than 25° and that will rotate a regular octagon onto itself are:

1. **45°**
2. **90°**