3. Rotations
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The only thing that's changing is the angle.
A'(2,120^(∘))
A''(2,210^(∘))
A'''(2,300^(∘))
Explanation: See solution.
To rotate the point by a certain number of degrees, we add this number to m∠XOA. Since m∠XOA=30^(∘) the new angles becomes
30^(∘)+90^(∘)=120^(∘)
30^(∘)+180^(∘)=210^(∘)
30^(∘)+270^(∘)=300^(∘)
The only thing that's changes is the angle so the new points can be written as: A'&(2,120^(∘)) A''&(2,210^(∘)) A'''&(2,300^(∘))