Something that is "derogatory" is disrespectful and offensive to another person. Something that is "insulting" puts down another person. Given how similar these meanings are, these words are synonyms.

For this question, you just need to be careful about the intensity of the word. Something that is "frigid" is very cold. Therefore, the best option is "freezing", for this word describes the coldest condition among the options given to you. Always find the word that is closest to the intensity indicated by your word.

The word "metropolitan" means related to a city, of the city. To provide further help, "rural" means away from the city, farmland. "Beach" is an area of land overlooking an ocean. "Cancer" and "creation" are both unrelated.

The word "summit" does not have to do with mathematical "sums"—as in addition! Instead, the word means the highest point. Therefore, we talk about the "summit of the mountain", meaning by this the highest point on the mountain.  This is the same as the "peak" of the mountain.

The word "minor" comes from the Latin for less. It is the opposite of "major," which comes from the Latin meaning more. A "minor" concern is a concern that is not very important. Among the options provided, the only one that expresses this sort of lack of importance is "unimportant." You could use this word in a sentence like, "That was a minor insult, so I am not too sad." This means that it was a small insult; hence, it was not very hurtful.

The word "oblivious" is used to describe someone who is totally unaware of some set of facts. For example, we could say, "Steven was working so diligently on his homework that he was utterly oblivious to the loud sounds outside of his bedroom." This means that he was totally unaware of them, not even hearing them!

The word "tedious" is used to describe someone or something that is relatively boring. Often, this is because the thing or person in question is very repetitive or, at least, does not make much progress. For example, "a tedious lecture" is one that likely keeps making the same point over and over again. Tedious things tend to be boring, so this is a good option for this question.

You almost certainly know the meaning of the word "wealthy." That said the correct answer, "affluent," may be a bit difficult. This word is indeed a synonym. It comes from roots that mean to flow. Think of "fluid" or even "fluent." (Someone who can speak a language "fluently" can do so in a flowing manner, without hesitations.) Although a number of the incorrect answers may be tempting, this is the only correct synonym!

The word "promising" does not merely have to do with "making promises." We can also use this word in a way that helps to extend this meaning of "to promise." When something is "promising" it gives positive reason to be hopeful about that thing. So, for example, if the weather looks "promising," this means that it has the appearance of being nice or pleasant. (It is like the weather is itself promising to be good.) Thus, the adjective "promising" can mean encouraging.

"The word "passive" comes from Latin roots meaning to suffer or to have something happen to oneself. Thus, it is related to words like "passion" and "impassioned." When we have a lot of emotion, we seem to "suffer" the feelings that overwhelm us. Think of a time that you have been very mad, it seems like the anger overtakes you—you are the passive recipient of the emotion, or at least it seems so. The word "passive" can mean not active. Additionally, someone who just receives someone's words or orders by merely accepting and doing them can be called "passive" as well. Hence, "obedient" is a good option for this question.