Question

matching 3 points. match the coordinates of the original point (x, y) with the coordinates of each rotated point in terms of x and y. rotation about the origin 180 degrees. rotation about the origin 90 degrees clockwise. rotation about the origin 90 degrees counter - clockwise. (-y,x) (y, - x) (x, - y) (-x,-y)

Explanation:

Step1: Recall 90 - degree counter - clockwise rotation rule

For a 90 - degree counter - clockwise rotation about the origin of a point $(x,y)$, the new coordinates are $(-y,x)$.

Step2: Recall 90 - degree clockwise rotation rule

For a 90 - degree clockwise rotation about the origin of a point $(x,y)$, the new coordinates are $(y, - x)$.

Step3: Recall 180 - degree rotation rule

For a 180 - degree rotation about the origin of a point $(x,y)$, the new coordinates are $(-x,-y)$.

Answer:

Rotation about the origin 90 degrees counter - clockwise: $(-y,x)$
Rotation about the origin 90 degrees clockwise: $(y, - x)$
Rotation about the origin 180 degrees: $(-x,-y)$