Question

Wha) is the image of the point (9,2) after a rotation of 90° counterclockwise about the origin?

Answer 1

Given the point:

(x, y) ==> (9, 2)

Let's find the new point of the image after a rotation of 90 degrees counterclockwise about the origin.

To find the image of the point after a rotation of 90 degrees counterclockwise, apply the rules of rotation.

After a rotation of 90 degrees counterclockwise, the point (x, y) changes to (-y, x)

Thus, we have the point after the rotation:

(x, y) ==> (-y, x)

(9, 2) ==> (-2, 9)

Therefore, the image of the points after a rotation of 90 degrees counterclockwise is:

(-2, 9)

ANSWER:

(-2, 9)