GAME DRAWN QUESTION

i was playing an opponent and i had my queen and king against his king...after about 20 or so half moves i had him in what seemed to be checkmate...he wasnt technically in check...but he was cornered so whereever he moved, he would be checkmated...i figured that was checkmate for me...but the game turned into a draw...and he didnt move back and forth in the same position over and over or anything...can any1 help me with that?
thanks...

same thing just happened to me. my next move would have been checkmate, but it ended with a draw

if a player can't move without going into check it is a draw

This is stalemate, rather than checkmate. It is a draw.

Stalemate Explained

http://www.geocities.com/Athens/Delphi/6551/intcases.htm

The word checkmate implies a check🙄