What is the image of the point (0, 9) after a rotation 90° clockwise about the origin?

a. (9, 0)

b. (–9, 0)

c. (0, –9)

d. (9, 9)

When we rotate a point we could rotate it in Clockwise direction because that's how the hand of a clock move, or rotate it in Counterclockwise direction that's the opposite rotation. In math, counterclockwise is defined as being a positive rotation while clockwise is defined as being a negative rotation.

On the coordinate plane, consider the point . To rotate this point by 90° around the origin in clockwise direction, you can always swap the x- and y-coordinates and then multiply the new x-coordinate by -1. In a mathematical language this is as follows:

So:

Finally, the new point is:

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