congruent sides and right angles, etc
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Two equilateral triangles are always similar!
They are said to be similar but not congruent triangles.
for two similar triangles , their corresponding angles are equal.
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.
Such triangles are similar.