Question

what is the transformation rule for a 90 - degree counterclockwise rotation around the origin?
a. swap the coordinates and negate the new x - coordinate
b. swap the coordinates and negate the new y - coordinate
c. keep the coordinates the same
d. change both coordinates to their opposites

Explanation:

For a 90 - degree counterclockwise rotation around the origin, if we start with a point $(x,y)$ and rotate it, the new point is $(-y,x)$. This means we swap the coordinates and negate the new x - coordinate.

Answer:

a. Swap the coordinates and negate the new x - coordinate