Question

1. what is the angle of rotation for point g mapped to point h? image of a regular pentagon with vertices e (top), d (left), f (right), h (bottom - left), g (bottom - right), and a center point options: 72° clockwise, 90° counterclockwise, 72° counterclockwise, 90° clockwise

Explanation:

Step1: Recall regular pentagon rotation

A regular pentagon has 5 equal central angles. The total around a point is \(360^\circ\), so each central angle is \(\frac{360^\circ}{5}=72^\circ\).

Step2: Determine rotation direction and angle

To map \(G\) to \(H\), we rotate counterclockwise (since moving from \(G\) to \(H\) in the pentagon's order is counterclockwise) by one central angle, which is \(72^\circ\).

Answer:

\(72^\circ\) counterclockwise (corresponding to the option: \(72^\circ\) counterclockwise)