Question

A regular hexagon has rotational symmetry. Name the largest degree of rotation, excluding 360°360°, that would turn a regular hexagon onto itself.(1 point)A rotation of °° would turn a regular hexagon onto itself.

Answer 1

A regular hexagon has rotational symmetry of order 6, which means it can be rotated into itself through certain angles. The angles of rotation that map the hexagon onto itself are multiples of \( \frac{360°}{6} = 60° \).

The rotations that will turn the hexagon onto itself are:

- \( 60° \)
- \( 120° \)
- \( 180° \)
- \( 240° \)
- \( 300° \)

The largest degree of rotation, excluding \( 360° \), that would turn a regular hexagon onto itself is \( 300° \).

So, the answer is \( 300° \).