traverse has 16 distinct synonyms spread across 7 of its 7 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
a horizontal crosspiece across a window or separating a door from a window over it
travel across or pass over
“The caravan covered almost 100 miles each day”
deny formally (an allegation of fact by the opposing party) in a legal suit
Synonyms, antonyms and the broader and narrower relations for traverse come from Princeton University’s WordNet. Full sources and licences.