Question

vw is rotated 90° counterclockwise about the origin to produce vw. write the rule for the rotation. (x, y)→( )

Explanation:

Step1: Recall rotation rule

For a 90 - degree counter - clockwise rotation about the origin, the general rule for a point $(x,y)$ is to change its coordinates.
The new $x$ - coordinate is the negative of the original $y$ - coordinate, and the new $y$ - coordinate is the original $x$ - coordinate.

Step2: Write the rule

The rule for a 90 - degree counter - clockwise rotation about the origin for a point $(x,y)$ is $(x,y)\to(-y,x)$.

Answer:

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