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Find points that are mapped to the original grid with image rotation by a non multiple of 90 degrees

Find points that are mapped to the original grid with image rotation by a non multiple of 90 degrees
  1. How do you rotate a shape 90 degrees about the origin?

How do you rotate a shape 90 degrees about the origin?

The rule for a rotation by 90° about the origin is (x,y)→(−y,x) .

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