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The second sentence. You must always make sure that the first part of the sentence before the colon is a complete sentence. The remaining sentences end in "are".
After analyzing the punctuation in each of the sentences provided, we can select the following option as the one punctuated correctly:
B. There are four ordinal directions: northeast, southeast, southwest, and northwest.
Using a colon in a sentence
One way to introduce a list of items in a sentence is by using a colon. However, we must make sure that what comes before the colon is a complete sentence. Therefore, it must not be a group of words ending in a verb.
We can eliminate option A because it introduces the list immediately, so the colon would not be necessary. We can also eliminate option C because what comes before the colon is not a complete sentence. Finally, we can eliminate option D because the verb "are" should not be placed after the colon.
With the information above in mind, we can choose letter B as the correct option. The colon is properly used after a complete sentence to introduce a list.
Learn more about punctuation here:
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