Question

Consider a parallelogram STUV with the following coordinates: S(-8, 2), T(-7, 7), U(-1, 10), V(-2, 5). Now, let's perform a 90° counterclockwise rotation about the origin to find its image.

What are the coordinates of point S' after the rotation?
A. (-2, -8)
B. (4, 3)
C. (8, -6)

Answer 1

After performing a 90° counterclockwise rotation about the origin on point S(-8, 2), the coordinates of the image point S' are (-2, -8).

Step-by-step explanation:

The question involves performing a 90° counterclockwise rotation of a point with given coordinates around the origin in a Cartesian plane. This rotation can be described using a transformation matrix or by applying the rotation formulas which are:

x' = -y

y' = x

By using these formulas for a 90° counterclockwise rotation, we can transform the coordinates of point S. For point S with coordinates (-8, 2), we substitute -8 for y and 2 for x to get the new coordinates:

x' = -2

y' = -8

Therefore, the coordinates of point S' after the rotation are (-2, -8).