Question
Which of the following mapping Is used for a 270 degree counterclockwise rotation
Answers
GPT-4o mini
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: \((y, -x)\)
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: \((y, -x)\)