Are "control", "direct", "lead", and "head" synonyms for supervise?

Question

I need to know the following: - Is control a synonym for supervise? - Is direct a synonym for supervise? - Is lead a synonym for supervise? - Is head a synonym for supervise/supervisor/lead/leader? I have looked these up in various thesauri and each one is different. While some thesauruses show some or all of the above words as synonyms for supervise, some do not. This is why I am looking for a clear answer to whether or not these words are synonyms for supervise.

Answer 1

"Head," "lead," and "direct" seem like they would work in place of "supervise." "Control" has a negative connotation, and I would stay away from it. (You can't really "control" a person. You can "control" the finances of a project or your household.)