Final Answer:
The new positions of each point after rotating about the origin are:
1) 90° counterclockwise: (x, y) → (−y, x)
2) 180° rotation: (x, y) → (−x, −y)
3) 270° counterclockwise (or 90° clockwise): (x, y) → (y, −x)
4) 90° clockwise: (x, y) → (y, −x)
5) 180° rotation: (x, y) → (−x, −y)
6) 270° clockwise (or 90° counterclockwise): (x, y) → (−y, x)
*(Note: Since no specific points were given in the prompt, the answer gives the general rotation rules for a point (x, y) about the origin. If actual coordinates were plotted in the image, they would be transformed using these rules.)*
Parent Tip: Review the logic above to help your child master the concept of rotation worksheet grade 8.