Question

Find the new coordinates of (11,9) after a 90 degrees counterclockwise (CCW) rotation. The center of rotation is the origin.

a. (9, -11)
b. (-9, 11)
c. (-9, -11)
d. (9, 11)

Answer 1

The new coordinates of (11, 9) after a 90 degrees counterclockwise (CCW) rotation are (-9, 11).

Step-by-step explanation:

To find the new coordinates of (11, 9) after a 90 degrees counterclockwise (CCW) rotation, we can use the following steps:

1. For a rotation of 90 degrees CCW, the new x coordinate can be found by swapping the signs of the original y coordinate. So, the new x coordinate would be -9.
2. The new y coordinate can be found by swapping the signs of the original x coordinate and taking its absolute value. So, the new y coordinate would be 11.

Therefore, the new coordinates after the rotation are (-9, 11).