Which of the following mapping Is used for a 270 degree counterclockwise rotation

1 answer

A 270-degree counterclockwise rotation can be represented by the following mapping function for points in a Cartesian coordinate system:

If you have a point \((x, y)\), the mapping for a 270-degree counterclockwise rotation is:

\[ (x, y) \rightarrow (y, -x) \]

This means that the x-coordinate moves to the y-coordinate, and the y-coordinate becomes the negative of the original x-coordinate.

Summary of the rotation:

  • Original point: \((x, y)\)
  • Rotated point after 270-degree counterclockwise rotation: \((y, -x)\)