How is this game a draw??

So I got this guy in checkmate and it pops up saying draw due to stalemate.. on what planet is this a draw??!!

The planet that follows the normal rules of chess.

The screenshot shows you it is stalemate.

The black K has no legal moves, therefore according to the rules of chess, it's a draw.

Draws

Occasionally chess games do not end with a winner, but with a draw. There are 5 reasons why a chess game may end in a draw:

• The position reaches a stalemate where it is one player’s turn to move, but his king is NOT in check and yet he does not have another legal move
• The players may simply agree to a draw and stop playing
• There are not enough pieces on the board to force a checkmate (example: a king and a bishop vs.a king)
• A player declares a draw if the same exact position is repeated three times (though not necessarily three times in a row)
• Fifty consecutive moves have been played where neither player has moved a pawn or captured a piece.

What a rediculous rule. Punished for destroying him?

Cheers for the info, nonetheless.

Here you go mate.  Enjoy!

http://www.chess.com/forum/view/general/stalemate-rule-needs-to-be-abolished

stalemate most often comes as a shock but for several reasons I think it's a good rule

He's not even in check

How do you come to the conclusion he's in check mate?

Well, someone should learn the rules of chess.
There are some chess like games (shatranj for example) that consider a stalemate a win for the side that delivers it, but I guess it's a draw here to punish those that go for material, like you.
With those four pieces you most certainly could have given mate.

You are obviously very new to the game. For now, you should simply accept that stalemate is a draw. It's a rule of the game, just like castling or en passant.

Learn the basic checkmate patterns

1. queen and rook
2. 2 rooks
3. queen
4. rook

I realize we are digging to deep into this. It's not that he's confused about patterns and the basic moves

He thought that checkmate meant trapping the king to a square, as opposed to ultimately threatening capturing it on the next move

Which at the risk of sounding redundant,

And only saying this because your last comment shows you misunderstand a wee bit about chess.

The ultimate goal is check mate

Not capture as many pieces as you can (like checkers)

Not saying that tactic is wrong or won't prove useful

But you could be "destroyed" as you said, with almost no pieces. But as long as you deliver check mate, you win.

That's the beauty of chess.

Look at this game. OP needs to learn how to checkmate with the queen. Don't worry though, there are plenty of videos on youtube that teach.

You might even find it fun to learn the rarer checkmate patterns, like two bishops, or bishop and knight. Who knows, it might happen. Here's the women's world champion trying and failing in a real game.