Option 1 -> Terse means brief and concise, which is a synonym of laconic, not an opposite.
Option 2 -> Loquacious means very talkative or using many words, which is the direct opposite of laconic.
Option 3 -> Curt means brief or abrupt in speech, similar in meaning to laconic, not opposite.
Option 4 -> Sagacious means wise or showing good judgment, which is unrelated to the concept of wordiness.
Hence, Option 2: Loquacious -> Laconic describes someone who uses very few words (concise/brief), while loquacious describes someone who is extremely talkative and uses many words, making them perfect antonyms -> correct