Question

1. a regular hexagon undergoes a counterclockwise rotation around its center. complete the following statement so it is true. the regular hexagon rotated ° counterclockwise around its center.

Explanation:

Step1: Recall rotation property of regular hexagon

A regular hexagon has rotational symmetry. The central angle between consecutive vertices is $\frac{360^{\circ}}{n}$, where $n = 6$ (number of sides).

Step2: Calculate the central - angle

$\frac{360^{\circ}}{6}=60^{\circ}$. When a regular hexagon rotates counter - clockwise around its center, the smallest non - zero angle of rotation that maps the hexagon onto itself is $60^{\circ}$. Looking at the transformation from point $A$ to $A'$, it is a single - step rotation. So the rotation angle is $60^{\circ}$.

Answer:

$60$