Step 1: Analyzing the Meaning of "Optimistic"
The word "optimistic" means having a hopeful and positive outlook on a situation, which makes "hopeful" (Option D) the correct synonym.
Step 2: Evaluating the Other Options
- "Nervous" (Option A) refers to being anxious or uneasy, which is the opposite of optimistic.
- "Quiet" (Option B) is unrelated to optimism and describes a state of calmness.
- "Lively" (Option C) refers to being energetic and active, which is unrelated to optimism about an outcome.
Step 3: Conclusion
Thus, the correct synonym for "optimistic" is "hopeful."