To find the coordinates of point \( A' \) after rotating triangle \( \Delta ABC \) 90° clockwise about the origin, we need to apply the rules for rotation. The general rule for a 90° clockwise rotation about the origin is:
\[ (x, y) \to (y, -x) \]
To determine the coordinates of \( A' \), we need the coordinates of point \( A \) before the rotation. Since these are not provided in your description, let's assume \( A \) has coordinates \( (x, y) \).
Applying the rotation transformation:
- If \( A = (x, y) \), then the coordinates of \( A' \) after a 90° clockwise rotation would be \( (y, -x) \).
Among the answer choices given:
A. \( (5, -1) \)
B. \( (1, -5) \)
C. \( (5, 1) \)
D. \( (-5, 1) \)
If we assume \( A \) had coordinates \( (1, 5) \) (for example), then applying the rotation:
- \( A' = (5, -1) \)
Without the coordinates of point \( A \), we cannot definitively determine the correct option. Please check the original coordinates of point \( A \) to apply the above transformation and select the corresponding option from the list.
If you can provide the coordinates of \( A \), I'd be happy to assist further!