A quick way to check a rotation question is to pick one easy-to-spot feature in figure (I), such as the corner of the square with the most crowded zigzag teeth, and track where that same feature should land after turning 45 degrees clockwise.
In figure (I), imagine the top edge of the square. Turning the whole figure 45 degrees clockwise moves this top edge halfway toward the right side, so what was the top edge should now point toward the upper right region of a diamond shape.
Checking P: the tracked feature lands close to the expected spot, but a nearby zigzag tooth is flipped compared to figure (I), which a plain rotation cannot do.
Checking R: the outer diamond shape looks fine, but the tracked feature ends up in a slightly wrong position, showing that some teeth have been reordered rather than just rotated.
Checking S: the tracked feature does not move a full 45 degrees, since parts of the original square edges remain straight instead of becoming diamond corners, meaning the rotation angle used here is wrong.
Checking Q: the tracked feature lands exactly where a clean 45 degree clockwise turn predicts, and every other zigzag tooth follows the same consistent turn with no flipping or reordering.
Since only Q keeps the tracked feature and every other detail consistent with one single clean rotation, Q is the correct match.
Let's summarize:
Track one clear feature through the rotation instead of comparing every tooth at once.
Reject any option where the feature lands in the wrong place, is mirrored, or the rotation angle looks wrong.
