The statement that correctly analyzes how Enlightenment thinker Thomas Hobbes’s ideas impacted the American Revolution is:
Colonists revolted when their rights to life, liberty, and property were ignored by the king.
While Hobbes is primarily known for his views on the social contract and the necessity of a strong central authority to prevent chaos, his philosophy indirectly influenced the colonists' understanding of their rights. Many of the ideas driving the American Revolution were more closely aligned with other Enlightenment thinkers, such as John Locke, who emphasized natural rights, including life, liberty, and property. However, Hobbes's concepts of the social contract and the role of government were part of the broader Enlightenment discourse that informed revolutionary thought.