3. Rotations
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Only consider rotations about the origin and rotations of 90^(∘), 180^(∘) and 270^(∘).
See solution.
Rotation of 90^(∘):& (a,b) → (- b,a) Rotation of 180^(∘):& (a,b) → (- a,- b) Rotation of 270^(∘):& (a,b) → (b,- a) For any other angle of rotation, you need to use a compass.