Step 1: Understand what a 45 degree clockwise rotation does.
Figure (I) is a square-shaped block pattern made of thick, maze-like black strokes. Rotating it 45 degrees clockwise turns the square so its flat top edge is no longer horizontal, and the pattern ends up balanced on one of its former corners, giving the outline a diamond look instead of a square look.
Step 2: Track one fixed reference point through the rotation.
Pick the corner of figure (I) with the most distinctive stroke pattern near it, for instance the top-left corner. After a 45 degree clockwise turn, that corner does not stay at the top, it moves one-eighth of a turn around, ending up along the upper-right side of the new diamond outline. Every other feature of the pattern must shift by the same 45 degree amount and in the same clockwise sense.
Step 3: Compare each option against this rotated position.
In option (Q), the internal strokes are consistent with the block pattern but mirrored left to right instead of rotated, which is the kind of error a reflection (flip) produces rather than a pure rotation.
In option (R), the pattern is turned by roughly 45 degrees but in the counter-clockwise sense, so the distinctive corner ends up on the wrong side of the diamond.
In option (S), the strokes are shuffled inconsistently, some segments rotated by 45 degrees and others left unrotated, which cannot come from a single rigid rotation of figure (I).
In option (P), every stroke of figure (I) reappears shifted by exactly 45 degrees in the clockwise direction, with the reference corner landing in the correct upper-right position and no mirroring.
Step 4: Final Answer.
Option (P) is the only figure that matches figure (I) rotated rigidly by 45 degrees clockwise, with no flip and no partial or reverse rotation.
\[ \boxed{\text{P}} \]
