Question

point k is rotated 90°. the coordinate of the pre - image point k was (2, −6) and its image k’ is at the coordinate (-6, -2). find the direction of the rotation. the direction of rotation was (clockwise or counterclockwise) blank.

Explanation:

Step1: Recall 90° rotation rules

For a point $(x,y)$:

• 90° clockwise rotation: $(x,y) \to (y, -x)$
• 90° counterclockwise rotation: $(x,y) \to (-y, x)$

Step2: Test clockwise rotation

Substitute $(x,y)=(2,-6)$ into clockwise rule:
$(y, -x) = (-6, -2)$

Step3: Match to given image

The result matches the given image coordinate $K'(-6,-2)$.

Answer:

clockwise