When is it rude to not resign? (chess etiquette)

I was playing a game (10 min.) I had my king, and my opponent had his bishop and castle. He blundered and I took his bishop. I offered a draw. He declined. He said I was being rude and weird for not resigning, but he didn't know how to get checkmate in that situation. I'm new(ish) to chess. I resigned because I didn't want to be a jerk, but I could have gotten a draw like I wanted. So, is it rude to not resign in that situation or one like it? Thanks.

Don’t resign.

A few times I resigned when I was actually winning or drawn lol.

Or had a winning position to get hit with a cheesy check mate but my excuse is I was drinking whiskey.

10 minutes is nothing to endure.

If he doesn't know how to get checkmate then he doesn't deserve to win

It's sometimes rude to call people rude. It was up to your opponent to play a rook endgame. Who does he think he is? A titled player?

No, it is not rude to not resign: https://support.chess.com/article/676-is-it-rude-to-resign-or-should-i-play-to-checkmate

No lie. Here I had too much whiskey and misread a back rank threat lol.

I am 4 points up on the evaluation bar!

So don’t be like me. Play it and see it thru. Both you and your opponent signed up for 10/0, then that is what you expect.

https://www.chess.com/game/live/57641455521

In general, do not resign if there is a chance for you to draw, win, or you do not know the technique for converting the position and want to learn.  In the game in question, your only hope of drawing is him moving his rook around the board aimlessly for 50 moves.  He can force a checkmate with just the king and rook in 10-15 moves, however.

Note that if he had allowed you to take his rook instead of his bishop, it would have been an instant draw (as you cannot checkmate with just a bishop).

I think that in your case, you forgot that after ...Rxc8, White cannot play Qe8+ safely since the piece standing on c8 after your move would no longer be the White rook.

I am a victim of a similar issue myself as well - for example, a piece is no longer protected after I move a second piece (which protected the first piece previously).

I was drunk.

Nope, it isn't rude to not resign. At a professional level, it's a sign of respect to resign if you're in this type of position because there is an incredibly low chance that your opponent will blunder. However, I wouldn't resign unless you're confident your opponent will checkmate you. 

No body ever won a game by resigning, play until your king is checkmated or the clock runs out, that's the fighting spirit of a true chess gladiator

This is the position he was talking about:

White has a 0% chance to win this game.  At best, he can draw it if Black hangs his rook or just shuffles his pieces for 50 moves.

Got it. Thanks for all the responses!

You resign when YOU don't want to continue, not when HE doesn't want to continue.

I should add, this is an argument that has been going on for 100+ years.  With no universally clear answer.

Nevah!!! 

It's simply never rude to not resign a game of chess.

Resign when you feel that there is nothing more you can learn by continuing.

If the opponent has a King and Queen against your bare King, and if you ALREADY know how to mate with K+Q vs K, then sure, resign. Continuing on won't teach you anything.

If you are playing someone who is not rated much lower than you, a useful rule of thumb might be to resign whenever you are confident that you could beat stockfish 14 if you were playing the other side

He blundered, so good on you, bad for him. I think you should have kept going, and hopefully he would have blundered again, then that would be a draw. 

Just playing at low levels, I see far too much hostility in the chat, people getting full of themselves, wanting to also play mindgames to try and get an advantage. I even saw this playing a guy from a local club online during lockdowns. If any of this even starts, just disable the chat and live a far more relaxed life. If I am trying to play and they want to argue about this or that move, that I should have done this or that, resigned, etc, none of it matters. Get rid of them, hopefully thrash them or drag it out until they resign, and laugh about it later to yourself. 

The fact that he let his bishop get captured by a lone king shows that he probably wasn't good enough to guarantee a win with his king and rook.  You should have continued playing until he checkmated you or the 50-move rule ended the game with a draw.