Final answer:
Pericles gains the confidence of his listeners by respectfully acknowledging their loss and affirming the democratic values and political system of Athens, which fosters a shared sense of Athenian identity and pride. The correct option is (c).
Step-by-step explanation:
In the historical context provided by Thucydides in History of the Peloponnesian War, Pericles' Funeral Oration is notable for the manner in which the Athenian leader gained the confidence of his listeners.
Pericles achieves this through a respectful acknowledgment of the Athenians' loss combined with an inspirational affirmation of the democratic values and institutions of Athens.
Stressing the superiority of the Athenian political system and the justice it provides to all, irrespective of social status, he emphasizes how the constitution "favors the many instead of the few". This approach highlighted a shared sense of pride in the collective Athenian identity and participation in governance, thereby consoling and unifying his audience during a time of war.