Using the Last Scene is a handle that uses anything from the previous scene as an offer for the scene. This handle is essentially an open scene. The performers can use any aspect of the last scene to create their new scene. Any aspect of the narrative from the previous scene can be used in the scene.
Using the Last Word is a handle that uses the last word of the last scene as the offer to start the scene. This handle is essentially an open scene. The host may need to probe the audience to make sure that everyone agrees with what the last word was in the previous scene.