From what I understand on the internet, there are two main types of finishing for hardwood floor, oiling and lacquering / painting, and the two kinds require different maintenance.
I have a bedroom with hardwood floor, but I do not have the option of asking the previous owner what of the two options they went for. Is there a good way to tell the two kinds of finishing apart? From what I understand painted floors can have very varied looks (matte or glossy), so that is not an option.
I have access to a few extra tiles, if that may help, but not to a box of tiles.
EDIT: I added a few pictures, as requested in the comments, trying to focus on damaged areas in the hope that it is more helpful.