prudence vs sagacity

prudence and sagacity both are nouns.

Word	Noun	Adjective	Verb	Adverb
prudence	Yes	No	No	No
sagacity	Yes	No	No	No

As nouns, sagacity is a hypernym of prudence; that is, sagacity is a word with a broader meaning than prudence:

prudence: knowing how to avoid embarrassment or distress
sagacity: the mental ability to understand and discriminate between relations

Other hypernyms of prudence include discernment, judgement, judgment, sagaciousness.

prudence (noun)	sagacity (noun)
discretion in practical affairs	the trait of forming opinions by distinguishing and evaluating
knowing how to avoid embarrassment or distress	the mental ability to understand and discriminate between relations