The statement that correctly analyzes how Enlightenment thinker Thomas Hobbes’s ideas impacted the American Revolution is:
Colonists felt that their agreement with the king had been broken when he violated their rights.
Hobbes's social contract theory suggested that the authority of the ruler depends on the consent of the governed, and if the ruler fails to protect the people's rights, the people have the right to revolt. This idea influenced the colonists' perception of their relationship with the British monarch.