The abstract noun for rude is rudeness. Someone who is rude or insulting can also be said to exhibit impoliteness.
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Graceful refers to the elegance, poise, and charm displayed by someone in their actions and demeanor. Polite, on the other hand, refers to showing good manners, consideration, and respect towards others. Rude behavior, in contrast, is characterized by impoliteness, disrespect, or offensive conduct.