The left silhouette is a “stair–step’’ strip. Any candidate with the same sequence of steps, corner angles, and tail length will fit after a rigid motion (rotation/flip/translation).
Pieces I, II, III, and IV are each congruent to the gap by a rotation and/or reflection, so every pair listed in (A), (B), and (C) is correct; (D) is not.
\[
\boxed{\text{Correct choices: A, B, C.}}
\]