If they have the same angles, but different side lengths.
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Nope. You must know what it means to be similar. It means that ALL three angles are the same between two triangles. That been said, you can take any two random triangles, it's very likely that they are NOT similar.
They are said to be similar but not congruent triangles.
They are similar triangles.
Two equilateral triangles are always similar!
There are no ratios that can be used for triangles that are not similar.