Question

1. what is the angle of rotation for point g mapped to point h?

90° counterclockwise
90° clockwise
72° clockwise
72° counterclockwise

Explanation:

Step1: Recall the formula for central angle of a regular polygon

The formula for the central angle of a regular \(n -\)sided polygon is \(\theta=\frac{360^{\circ}}{n}\). Here, the polygon is a regular pentagon (\(n = 5\)).

Step2: Calculate the central angle

Substitute \(n = 5\) into the formula \(\theta=\frac{360^{\circ}}{5}=72^{\circ}\).

Step3: Determine the direction of rotation

Since we are moving from point \(G\) to point \(H\) in the clock - wise direction.

Answer:

\(72^{\circ}\) clockwise