+16 How many different non-congruent isosceles triangles can be formed by connecting three of the dots in a 4x4 square array of dots like the one shown below?
[asy]
size(50);
dot((0,0));dot((0,1));dot((0,2));dot((0,3));
dot((1,0));dot((1,1));dot((1,2));dot((1,3)); <#> dot((2,0));dot((2,1));dot((2,2));dot((2,3)); <#> dot((3,0));dot((3,1));dot((3,2));dot((3,3)); <#> [/asy] <#> Two
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