at which angle will the hexagon rotate so that it maps onto itself? 60° 90° 120° 180°
at which angle will the hexagon rotate so that it maps onto itself? 60° 90° 120° 180°
Answer
Explanation:
Step1: Recall rotational - symmetry formula
The formula for the angle of rotational symmetry of a regular polygon is $\theta=\frac{360^{\circ}}{n}$, where $n$ is the number of sides of the polygon.
Step2: Identify the number of sides of a hexagon
A hexagon has $n = 6$ sides.
Step3: Calculate the angle of rotation
Substitute $n = 6$ into the formula: $\theta=\frac{360^{\circ}}{6}=60^{\circ}$. Also, multiples of this angle will also map the hexagon onto itself. $120^{\circ}=2\times60^{\circ}$ and $180^{\circ}=3\times60^{\circ}$. The smallest non - zero angle is $60^{\circ}$.
Answer:
A. $60^{\circ}$