Question

What is the rule for rotating 270 degrees counterclockwise about the origin?


(x,y) -> (y,-x)


(x,y) -> (-x,-y)


(x,y) -> (-y,x)

Answer 1

To rotate a point \((x, y)\) 270 degrees counterclockwise about the origin, you can use the transformation:

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

This means that the point \((x, y)\) will be transformed to the point \((y, -x)\) after a 270-degree counterclockwise rotation.

So, the correct rule for rotating 270 degrees counterclockwise about the origin is:

\((x, y) \to (y, -x)\)