Question

Practice finding images of rotations.
On a coordinate plane, point A is at (3, 3) and point B is at (negative 3, 3).

Point B is the image of point A when A is rotated 90° counterclockwise around the origin.


Point B must be the same
from the origin as point A.

Answer 1

Point B must be the same distance from the origin as point A.

Reason: a rotation preserves distance from the center. |A| = sqrt(3^2+3^2) = 3√2 and |B| = sqrt((-3)^2+3^2) = 3√2.