1. Option A (45 degrees clockwise): The motif in \(A\) is correctly rotated 45 degrees clockwise about its central axis, matching the description. Thus, \(A\) is correct.
2. Option B (135 degrees anti-clockwise): The motif in \(B\) is rotated 135 degrees anti-clockwise about its central axis, as described. Hence, \(B\) is correct.
3. Option C (90 degrees clockwise): The motif in \(C\) is rotated 90 degrees clockwise about its central axis, which matches the description. Therefore, \(C\) is correct.
4. Option D (90 degrees anti-clockwise): While \(D\) involves a 90-degree anti-clockwise rotation, it does not align as expected with the original motif, making \(D\) incorrect.
Conclusion: The correct options are \(A, B, C\).