Answer:
A. Matthew has lived in several different states: Idaho, South Carolina, and Iowa.
Step-by-step explanation:
A correct sentence includes correct punctuation use, such as commas, semicolon, colon, full stops, etc.
The correct sentence among the given sentences is sentence A. This is because the sentence contains a list of states that Matthew has lived in. So, we use the colon to introduce the list. Moreover, the comma separates the states while the full-stop/period ends the sentence.
Sentence B is wrong with the use of "including" and the colon. Both cannot be used.
Sentence C is wrong as it uses a semicolon instead of a colon.
Sentence D is wrong as there is no comma used to separate the states.
Thus, the correct answer is option A.