The point is rotated anticlockwise about the origin. What are the coordinates of its image?

Answer and explanation

Correct answer: D. (-1, 2)

  1. Step 1: A anticlockwise rotation about the origin maps to .
  2. Step 2: .
Answer
(-1, 2).
Why not the others: (1, -2): This is a clockwise rotation, which maps to . (-2, -1): This is a rotation of . (1, 2): This only swaps the coordinates, which is a reflection in the line .

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