My favorite theorem is the Pythagorean Theorem. It is much better than EVAN'S FAVORITE THEOREM_MA375Fall2008walther.
(No seriously, I chose it before looking at his page) --
Here it is $ a^2+b^2=c^2 $
It's one of those theorems that is surprising at first. When I saw the proof of it I was pretty amazed. There's an image of it here.
If I couldn't choose that one, I would probably choose the four color theorem, since it's pretty easy to understand.