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Similarity isreflexive: x is similar to xsymmetric: if x is similar to y then y is similar to x.transitive: if x is similar to y and y is similar to z then x is similar to z.
You have to think that if two are similar, the other must also be similar in order for it to be similar
All congruent shapes are similar, but not all similar shapes are congruent.
Similar with an object would be a side by side search for matching characteristics of objects, comparable. Similar to would be an overall sameness.
Cuboids are not always similar.