To rotate points 270° anticlockwise about the origin, the general formula is:

(x, y) → (y, -x).

Calculation for each point:

1. Point A: (2, 3)
   Using the formula:
   (x, y) → (y, -x) → (3, -2)

2. Point B: (-2, 3)
   Using the formula:
   (x, y) → (y, -x) → (3, 2)

3. Point C: (-2, -3)
   Using the formula:
   (x, y) → (y, -x) → (-3, 2)

4. Point D: (2, -3)
   Using the formula:
   (x, y) → (y, -x) → (-3, -2)

Completed Table:

Let me know if you'd like further clarification or have any additional questions!

Relative Questions:

1. What is the general rotation formula for other angles like 90° or 180°?
2. How does rotation differ between clockwise and anticlockwise directions?
3. Can this formula be applied in 3D geometry, and if not, what modifications are needed?
4. How can we visualize this transformation on a graph?
5. What happens to the distances between points after a rotation?

Tip: Always ensure the center of rotation is clearly defined before applying transformations!