1. Start with the given information: We know the original coordinates of point C.
2. Apply the rotation transformation: To rotate a point (x, y) 270° counter-clockwise, we swap the x and y coordinates and negate the new x coordinate.
3. Find the coordinates of C after rotation:
- Let's say the original coordinates of C are (x, y).
- After rotating 270° counter-clockwise, the new coordinates of C are (-y, x).
4. Compare the new coordinates of C to the answer choices provided:
- A) (2, 1): Not a match
- B) (-2,-2): Not a match
- C) (2, -1): Not a match
- D) (-2, -1): Not a match
- E) (-1, -2): This matches the new coordinates of C after rotation.
Therefore, the correct answer is E) (-1, -2). The coordinates of point C after rotating AABC 270° counter-clockwise are (-1, -2).