What the...... Those 2 triangles are definately distinguishable, one is equilateral and one is a right angle. They have different symmetry groups for starters, and you can prove that one has more symmetry elements than the other. Fix the angles and they are not isomorphic. If this is saying what I think you are saying then you are wrong. Circles, squares, equilateral triangles all have properties that are invariant on scale transformations. The ratio of circumference to diamter is pi no matter the scale.