The minority has almost no power in the House of Representatives, but they usually do have the prerogative to force a single uncomfortable procedural vote. These motions leave the majority to choose between voting against something popular, or voting to scuttle or complicate their own agenda. This is how Republicans managed to wrongfoot Democrats on the 9/11 health bill and other issues in the last couple Congresses.
This is a companion discussion topic for the original entry at https://talkingpointsmemo.com/?p=116315