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Which of the following are the correct coordinates when the point (1,8) is rotated 180° anticlockwise about the origin?

Question

Which of the following are the correct coordinates when the point (1,8) is rotated 180° anticlockwise about the origin?

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Solution

To find the new coordinates of a point after a 180° rotation anticlockwise about the origin, you can use the following rules:

  • The x-coordinate becomes its negative.
  • The y-coordinate also becomes its negative.

So, if we apply these rules to the point (1,8):

  • The x-coordinate 1 becomes -1.
  • The y-coordinate 8 becomes -8.

Therefore, the coordinates of the point (1,8) after a 180° rotation anticlockwise about the origin are (-1,-8).

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