Question

do practice
rotate 120 degrees clockwise
around o
rotate 60 degrees
counterclockwise around o.
rotate 60 degrees clockwise
around p

Explanation:

Step1: Understand rotation concepts

Rotation is a transformation that turns a figure around a fixed point (the center of rotation). Clockwise rotation is in the direction of a clock's hands, and counter - clockwise is the opposite.

Step2: Analyze each rotation

• For rotating \(120^{\circ}\) clockwise around \(O\): Each point of the triangle \(OGP\) moves \(120^{\circ}\) in the clockwise direction around \(O\).
• For rotating \(60^{\circ}\) counter - clockwise around \(O\): Each point of the triangle \(OGP\) moves \(60^{\circ}\) in the counter - clockwise direction around \(O\).
• For rotating \(60^{\circ}\) clockwise around \(P\): Each point of the triangle \(OGP\) moves \(60^{\circ}\) in the clockwise direction around \(P\).

Answer:

The three rotations are correctly performed as described in the step - by - step analysis. The first rotation ( \(120^{\circ}\) clockwise around \(O\) ) changes the position of the triangle \(OGP\) such that the orientation is adjusted by \(120^{\circ}\) in the clockwise sense with \(O\) as the pivot. The second rotation ( \(60^{\circ}\) counter - clockwise around \(O\) ) pivots the triangle \(OGP\) \(60^{\circ}\) in the counter - clockwise direction about \(O\). The third rotation ( \(60^{\circ}\) clockwise around \(P\) ) pivots the triangle \(OGP\) \(60^{\circ}\) in the clockwise direction about \(P\).