In the sentence "Billy enjoyed the pizza that his brother made for him," the blue words "that his brother made for him" represent a dependent clause.
Explanation:
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Independent Clause: An independent clause can stand alone as a complete sentence. It contains a subject and a predicate that express a complete thought. For example, "Billy enjoyed the pizza" is an independent clause.
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Dependent Clause: A dependent clause also contains a subject and a predicate, but it does not express a complete thought and cannot stand alone as a sentence. It usually starts with a subordinating conjunction (like "that," "because," "although," etc.) or a relative pronoun (like "who," "which," "that," etc.). In this case, "that his brother made for him" gives more information about "the pizza" but cannot stand alone as a complete thought.
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Phrase: A phrase is a group of words that does not contain a subject and predicate, and therefore does not express a complete thought.
Since "that his brother made for him" provides additional information about the pizza rather than being able to stand alone, it is identified as a dependent clause.