In my last game (of which I’m not otherwise proud) I found myself in the King (me) versus rook and one pawn. Hopeless? Resign? Hell no! I did a lesson on this very subject recently that taught how to get a stalemate, and damned if I didn’t get away with it. Anyhow, doesn’t this endgame have a name?
To mate is not that difficult, and you cannot stop it if your opponent played correctly. I believe you are assuming something about your study, and you should go back and restudy it. I would name this endgame lucky. However congratulations on your draw.