“Regard,” when used as a verb, means “consider or think of someone or something in a specified way,” while “deem” means “regard or consider in a specified way.” So, “regard” and “deem” are synonyms, and we need to pick out an answer choice that consists of a pair of synonyms. While “confound is to astonish,” “release is to capture,” and “negate is to confirm” might each look like a potentially correct answer choice, “release” and “confirm” are antonyms, as are “negate” and “confirm,” so neither of those answer choices can be the correct answer. “Confound,” however, is a verb that means “cause surprise or confusion in (someone), especially by acting against their expectations,” while “astonish” means “surprise or impress (someone) greatly.” So, because “confound” is a synonym of “astonish” just as “regard” is a synonym of “deem,” “confound is to astonish” is the correct answer.

Outlandish and eccentric are synonyms that both mean weird or abnormal so to solve this analogy you have to identify the best available synonym for quintessential. Quintessential means typical or normal. For clarification, menacing means threatening; elusive means hard to detect or capture; abnormal means weird, not normal.

Lethargic is a synonym of tired so to solve this analogy you need to determine which of the answer choices is the best synonym for the word gregarious. Gregarious means sociable or outgoing. For clarification, devious means sneaky; introspective means thoughtful and inwardly focused; iconic means significant; whimsical means quirky or silly.

Evanescent is a synonym of fleeting so to solve this analogy you must determine the best available synonym for ephemeral. Ephemeral means short-lived. Transitory also has a similar meaning, it means not permanent or existing for a short time. Permanent and lasting are both antonyms. Nomadic means living a detached or wandering lifestyle.

"Belittle" and "demean" are both synonyms that mean to put someone down with unkindness or criticism. "Delectable" means tasty,and therefore the best available synonym is “delicious.” For clarification, "nourishing" means providing nourishment; "harsh" means unfairly critical; "jaunty" means cheerful.

Thrive and flourish are both synonyms that mean to do well or succeed; therefore you need to identify the best synonym for indignant, which means angry or furious. The correct answer is “incensed” which means to have been made very angry. For clarification, "lethargic" means exhausted and is the antonym of energetic.

Since "sycophant" is a noun that means a self-seeking person who flatters powerful people to win their favor, it is a synonym of "flatterer." So, in selecting an answer choice, we're looking for two words which are synonyms. While "farmer is to husbandry" may initially look like a good answer choice, the two words are not synonyms, as a farmer practices husbandry. (If the answer choice said "farming is to husbandry," then it might be considerable). "Monarch is to king" is the best answer choice, because just like a sycophant is a flatterer, a king is a monarch. 

Balcony and mezzanine are synonyms, as are porch and veranda. 

When you avert something, you prevent it. When you augment something, you increase it. 

"Charmed" means having good luck on a consistent basis, making this analogy based on synonyms. "Charmed" and "lucky" are also adjectives, the same part of speech. "Enemy" is a noun, so we are looking for a similar word that is also a noun.

The correct choice is "adversary" (root "vers" = to turn from (think of your back and vertebrae)). An "enemy" is someone who is an opponent, someone you fight with or contest.  

An "associate" (noun) is someone you work with, not against, making it an antonym.

"Conniving" (verb) is the action of a person who is aware or a part of doing something illegal or immoral. This may describe someone who is an enemy, but is not another word for an enemy itself.

"Awful" (adj) is also a description of someone who could be an enemy, but is not a noun.

"Supervisor" (noun) is a noun but does not necessarily mean someone who is an enemy; (prefix "super" = above and root "vis" = to see), referring to someone who manages or oversees others.