bratyoudaoicibaDictYouDict
brat: [16] The origins of brat are not altogether clear, but it has plausibly been connected with the English dialect brat ‘makeshift or ragged garment’, as being the sort of apparel a rough or ill-mannered child might wear. This brat first appeared in late Old English as bratt, meaning ‘cloak’, a borrowing from Old Irish bratt ‘covering, mantle’.
ignorant (adj.)youdaoicibaDictYouDict
late 14c., from Old French ignorant (14c.), from Latin ignorantia, from ignorantem (nominative ignorans), present participle of ignorare "not to know, to be unacquainted; mistake, misunderstand; take no notice of, pay no attention to," from assimilated form of in- "not, opposite of" (see in- (1)) + Old Latin gnarus "aware, acquainted with" (cognates: Classical Latin noscere "to know," notus "known"), from Proto-Latin suffixed form *gno-ro-, related to gnoscere "to know" (see know).

Form influenced by Latin ignotus "unknown." Also see uncouth. Colloquial sense of "ill-mannered" first attested 1886. As a noun meaning "ignorant person" from mid-15c.
impolite (adj.)youdaoicibaDictYouDict
1610s, "unrefined, rough," from Latin impolitus "unpolished, rough, unrefined," from assimilated form of in- "not, opposite of" (see in- (1)) + politus "polished" (see polite). Sense of "discourteous, ill-mannered" is from 1739. Related: Impolitely; impoliteness.
rude (adj.)youdaoicibaDictYouDict
late 13c., "coarse, rough" (of surfaces), from Old French ruide (13c.) or directly from Latin rudis "rough, crude, unlearned," perhaps related to rudus "rubble." Sense of "ill-mannered, uncultured; uneducated, uncultured" is from mid-14c. Rude boy (also rudie, for short) in Jamaican slang is attested from 1967. Figurative phrase rude awakening is attested from 1895.