The first one is right though.
It is a 4 by 4 dot grid.
Ok I'll give it another go.
Here are the options. for the 2 sides that are the same.
across 0 up 1 (1 unit) 1 possibility as seen on circle below
across 0 up 2 (2 units) 1 possibility as seen on circle below
across 0 up 3 (3 units) 1 possibility as seen on circle below
across 1 up 1 (sqrt2 units) 1 possibility as seen on circle below
across 1 up 2 (sqrt5 units) 3 possibilities as seen on circle below
across 1 up 3 (sqrt10 units) 2 possibilities as seen on circle below
across 2 up 2 (sqrt8 units) 1 possibility as seen on circle below
across 2 up 3 (sqrt13 units) 2 possibilities as seen on circle below
So unless I made a careless oversight (which is quite possible), there are 12 possibilities.