A regular hexagon is a polygon with six equal sides and angles. To determine the order of rotational symmetry and the angle of rotation for a regular hexagon, follow these steps:
1. Order of Rotational Symmetry:
- The order of rotational symmetry is defined by how many times the shape maps onto itself during a full 360-degree rotation. For a regular hexagon, this value is equal to the number of sides. Since a hexagon has 6 sides, its order of rotational symmetry is 6.
2. Angle of Rotation:
- To find the angle of rotation, we divide the full rotation (360 degrees) by the order of rotational symmetry (which is the number of sides). For a hexagon, this calculation is:
[tex]\[
\text{Angle of rotation} = \frac{360^\circ}{6} = 60^\circ
\][/tex]
Thus, the order of rotational symmetry for a regular hexagon is 6, and the angle of rotation is 60 degrees. Therefore, the correct answer is:
[tex]\[ \text{Order } = 6, \text{ angle of rotation } = 60^\circ. \][/tex]
