# Can a shape be both similar and congruent? 🤔

I know that congruent shapes have the same size and the rotations don't matter. I just want to know if congruent shapes can also be similar at the same time. I've seen that similar shapes have one shape that is a different size in comparison to another shape with proportional sides and the same angles. So is it safe to say that congruent shapes can also be similar?

• What proportion would make them congruent? – N. F. Taussig Oct 24 '14 at 22:47
• The proportions for congruent shapes are always the same. – user186302 Oct 24 '14 at 23:07
• If you mean the proportion is equal to $1$, you are correct. Congruent shapes are a special case of similar triangles. – N. F. Taussig Oct 24 '14 at 23:12