"Incarcerate" is a verb that means "imprison or confine," so we need to pick out an answer choice that means something like "imprison." "Release," then, cannot be the correct answer, because "release" means "allow or enable to escape from confinement; set free," making "release" an antonym, not a synonym, of "incarcerate." "Jail," however, when used as a verb, means "put (someone) in jail," and because "jail" is the answer choice closest in meaning to "incarcerate," "jail" is the correct answer.

"Vanish" means to disappear.

"Deplete" means to use up a supply, as in the sentence, "When your food supplies become depleted, you will need to buy more."

"Diminish" is the correct answer because it means to make or become less. Both "deplete" and "diminish" have to do with a quantity becoming smaller.

Incorrect answers:

"Designate" means to appoint to a position, as in the sentence, "The class election was a tie, so the teacher designated a student as the class president."

"Enter" means to go into, as in the sentence, "Make sure your headlights are on when you enter the tunnel."

"Imitate" means to copy or to follow as a model, as in the sentence, "The winner of the talent show imitated a famous singer."

The word "distort" means to twist out of shape. "Change" is the best option because it is the only choice that has to do with changing the shape of something else. Considering the other choices, "insult" means to be rude towards another, "distinguish" means to make different, and "attract" means to draw in. 

The word "circumvent" means avoid. "Avoid" is the best choice, as it is a part of the definition of circumvent. Considering the other choices, "wind" is air in motion, "round" means circular or curved, and "assist" is a verb that means help.

The word "incarcerate" means put in jail or imprison. "Imprison" is the best choice because it is a part of the definition of "incarcerate."

The word "liberate" means set free. The word "free" (used as a verb) is the best choice because it is a part of the definition of the word "liberate."

The correct answer is "remove." To "withdraw" something means to remove it. The other words are all the opposites of "remove." 

The correct answer is "keep," because to "retain" something means to keep it. The other words all mean the opposite of "keep."

The word "lug," when used as a verb, means carry. "Carry" is the best choice, as it is a part of the definition of "lug." Considering the other choices, a "nut" is a fruit made up of a kernel in a shell, "hold" means keep in hand or in a certain state, and "disclose" means make private information known to someone else or other people.