Question

1. what is the angle of rotation for point s mapped to point r?○ 90 degrees counterclockwise○ 45 degrees clockwise○ 60 degrees clockwise○ 60 degrees counterclockwise

Explanation:

Step1: Calculate central angle

A regular hexagon has 6 equal central angles around the center $P$. The total degrees around a point is $360^\circ$, so each central angle is $\frac{360^\circ}{6}=60^\circ$.

Step2: Identify rotation direction

Mapping point $S$ to $R$ requires rotating clockwise (following the order of the hexagon's vertices $Q, R, S, T, V, W$), and the angle between $S$ and $R$ is one central angle.

Answer:

60 degrees clockwise