Stalemate

I don't understand the stalemate rule and how this site uses it.  If there are no legal moves of my opponet because I have "trapped" him - it is a stalemate, correct?  How do I lose points on my username?  I just finished a game and my opponet had no legal moves so it stated stalemate, yet it read game over stalemate -2 points.  How is it that I lose points?

Stalemate = draw

This isnt checkers

There are lots of threads here discussing the Stalemate topic.

The Stalemate rule has changed a lot (it has been counted as a win for the player who stalemates, a draw, an "inferior way to win" that was between a victory and a draw or even a win for the player who got stalemated in some places), and it was accorded to make stalemate a draw.

Most of the Endgame theory involves Stalemate themes. For example, take a look at this position:

If we decided to count stalemates as victories, that could mean that a side who can't checkmate (as black in the diagram above) could actually win the game, which is, IMO, ridiculous.

I think the OP understands how stalemate works clearly enough, this is actually a rating points question and was answered well by 2Daniel2.