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Your teacher probably wants you to answer this question for yourself.
The mean and variance are equal in the Poisson distribution. The mean and std deviation would be equal only for the case of mean = 1. See related link.
regular polygon mean equal sides, equal angles irregular polygon mean it is not equal :)
equal set mean the set is equal equal est means that the set is equal
To be equivalent means to be the same as a value or thing. So yes, it does mean equal.