Answer:
The "injuries and usurpations" described in this quote are the colonists' <u><em>proof that the king violated the principles of limited government, social contract, and natural rights</em></u>.
Explanation:
The American Declaration of Independence was the first formally documented declaration of the colonists asserting their right to govern themselves. The document reveals the nation's desire and decision to make their own government rather than be a colony of Britain.
In the given quote from the Declaration, the colonists made a bold declaration that the king of Britain has a <em>"history of repeated injuries and usurpations, all having in direct object the establishment of an absolute Tyranny over these States."</em> The use of the phrase <em>"repeated injuries and usurpations" </em>refers to the English king's violations of the government, social contract, and natural rights.
Thus, the correct answer is the first option.