Final answer:
The phrase 'Because she looked so much like my sister' is an example of a dependent clause, which includes a subject and verb but cannot stand alone as a complete thought and needs an independent clause.
Step-by-step explanation:
The phrase “Because she looked so much like my sister” is an example of a dependent clause. A dependent clause is a group of words that includes both a subject and a verb but cannot stand alone as a complete thought. It relies on an independent clause to form a complete sentence. For instance, “If you chase two rabbits, you will lose them both” contains a dependent clause beginning with the subordinating conjunction “if.” Similarly, in the sentence “She is going to be a schoolteacher because she believes education is the most fundamental pillar of the republic,” the clause starting with “because” is dependent, as it describes the reason for becoming a schoolteacher and does not convey a complete thought on its own.