Question

What is the result of rotating the point (x, y) 270 degrees clockwise?
Responses
A (y, -x)(y, -x)
B (-y, x)

Answer 1

To rotate the point \((x, y)\) 270 degrees clockwise, you can use the following transformation rule:

- A clockwise rotation can be thought of as a counterclockwise rotation of \(-270\) degrees, which is equivalent to a rotation of \(90\) degrees counterclockwise.

The transformation for a \(90\) degrees counterclockwise rotation is:
\[
(x, y) \rightarrow (-y, x)
\]

Therefore, the result of rotating the point \((x, y)\) 270 degrees clockwise is:
\[
(-y, x)
\]

Thus, the correct response is:
**B (-y, x)**.