Question

Find the coordinates of S'after a 90°

counterclockwise rotation about the origin.
A. (-3,-3)
B. (3, 3)
C. (3,-3)
D. (-3, 3)

Answer 1

To find the coordinates of S' after a 90° counterclockwise rotation around the origin, use the transformation equations x' = -y and y' = x. For S, with original coordinates (-3, 3), the new coordinates S' will be (-3, 3).

Step-by-step explanation:

To find the coordinates of S' after a 90° counterclockwise rotation about the origin, we can use the rotation transformation equations:

x' = -y

y' = x

If S has the coordinates (-3, 3) before the rotation, after applying the transformation, the new coordinates S' would be calculated as follows:

x' = -y = -3

y' = x = 3

Therefore, the coordinates of S' after a 90° counterclockwise rotation around the origin will be (-3, 3).