Final Answer:
Our high school would not begin until then. We were enjoying our break by indulging in activities and enjoying our existence, free from assignments and quizzes. Thus the correct option is option (2).
Step-by-step explanation:
In this context, the correct choices are 2) begin, then, assignments, quizzes. The use of "then" indicates a specific point in time when the high school would start, and "begin" is the appropriate verb to convey the commencement of the school. Similarly, during the break, the students were free from "assignments" and "quizzes," making option 2 the most suitable completion for the given sentences.
Choosing option 1) start, now, homework, exams would create a logical inconsistency, as the word "now" conflicts with the idea of the school starting later. Option 3) commence, later, projects, assessments, and option 4) initiate, after, papers, evaluations, don't fit the context as well, introducing terms like "projects" and "papers" that are not explicitly mentioned in the original sentences.
In conclusion, the hyphenated pairings in option 2) "begin, then" and "assignments, quizzes" provide the most coherent and contextually appropriate completion for the given sentences. Thus the correct option is option (2).