A characteristic of fire is that it is hot, just as a characteristic of a liquid is that it is wet. So, "liquid is to wet" is the correct answer.

In the phrase, "water is to wet," the relationship between the words is that the second word describes the first word. "Wet" describes "water," as it is a characteristic of water. 

The only answer that follows this same relationship is "ice is to cold," as ice has the quality of being cold.

An “oath” is a promise or commitment of loyalty to someone or something. An “oath” is something you “swear,” so to solve this analogy you have to determine which of these answer choices is related to the verb “author.” An “author” is someone who writes books, and to "author” something means to write it. Of the provided answer choices, the only thing that one can "author" is a "story." To provide further help, “publish” means share a story with the world by making it available to readers.

Being “strong” is a characteristic usually associated with being a “fighter,” so to solve this analogy you need to figure out which of these answer choices is a word often associated with a “dancer.” The correct answer is “agile,” which means having good balance and athleticism. To provide further help, “serene” means peaceful; “determined” means hard-working and wanting to succeed very badly; “pensive” means thinking a lot about something; and “timid” means quiet and shy.

A feature of the arctic is that it is very cold. So, to solve this analogy, you need to determine which of the answer choices is a feature of the desert that relates to temperature. The correct answer is therefore "hot," because while the arctic is cold, the desert is hot.

Cheetahs are one the fastest animals in the world, so to solve this analogy, you need to determine which of these answer choices is something that could be described as "slow." The correct answer is therefore "turtle," since whereas cheetahs move quickly, turtles move slowly.

A lion hunts for food so to solve this analogy you have to determine which of these answer choices is something a cow does to get food. The correct answer is "graze," which means to feed, to eat grass. To provide further help, "plead" means beg; "urge" means desperately encourage; "ponder" means think; "establish" means set-up. 

A characteristic of a mountain is to be "colossal." "Colossal" means very big, gigantic. So, to solve this analogy you have to determine which of these answer choices is a characteristic of a house. The correct answer is "inhabited" which means lived in. To provide further help, "obsolete" means no longer used, outdated; "dreaded" means feared; "mocked" means made fun of. 

"Scarce" and "bountiful" are antonyms, meaning they have an opposite relation. Likewise, "clumsy" and "graceful" are antonyms. 

It is a quality of a "cheetah" to be very "fast," so to solve this analogy you need to determine which of these is usually associated with the quality of being "tall." The correct answer is a "giraffe." Additionally, "hasty" means done quickly, rushed.