To find the coordinates of \( A' \) after a counterclockwise rotation of 270° around the origin, we can apply the rotation transformation formulas.
For a point \( (x, y) \), the formulas for a counterclockwise rotation are:
- A 90° rotation maps \( (x, y) \) to \( (-y, x) \).
- A 180° rotation maps \( (x, y) \) to \( (-x, -y) \).
- A 270° (which is equivalent to a -90°) rotation maps \( (x, y) \) to \( (y, -x) \).
If we denote the original coordinates of point \( A \) as \( (x, y) \), then after a 270° counterclockwise rotation, the new coordinates \( A' \) will be:
\[ A' = (y, -x) \]
Please provide the coordinates of point \( A \) so I can calculate \( A' \). Without those coordinates, it's not possible to determine the specific new position.