Question

what is the image of the point (4, 0) after a rotation of 90 degrees counterclockwise about the origin

Answer 1

Key Ideas

• Rotation about the origin

When point is rotated 90 degrees counterclockwise about the origin, point (x,y) becomes (-y,x).

Solving the Question

We're given

• (4,0) rotated 90 degrees counterclockwise about the origin

Make the y-coordinate negative:

(4,0)

Switch around the coordinates:

(0,4)

Answer

(0,4)