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It depends on what you mean by class. Are you using symmetric in the sense classes offered within a college or university or Geometry, mathematics, Biology, chemistry etc.? In a general sense typically classes within an institution of learning are symmetric considering they are well-proportioned, as a whole, and regular in form or arrangement of corresponding parts. So we conclude yes.

As far as transitive, once again we come to the question as to what sense you are using the term. Still, if you are using it as a term that means characterized by or involving transition; transitional; intermediate, or passing over to or affecting something else; transient. Then its yes again. I would imagine you can conclude then that the answer can be yes to both symmetric, and transitive. However, once again it depends on what sense your using these words.

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Q: Can classes be symmetric or transitive?
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