Questions: What was the name of the 1763 proclamation that restricted colonial settlement west of the Appalachian Mountains?

The answer is: The Royal Proclamation of 1763.

Explanation for each option:

1. The Navigation Acts: These were a series of laws passed by the British Parliament in the 17th century to regulate colonial trade and enable England to collect duties (taxes) in the Colonies. They are not related to the restriction of colonial settlement.

2. The Royal Proclamation of 1763: This is the correct answer. The Royal Proclamation of 1763 was issued by King George III following the conclusion of the French and Indian War/Seven Years' War. It forbade settlers from settling past a line drawn along the Appalachian Mountains, which was intended to stabilize relations with Native Americans through the regulation of trade, settlement, and land purchases on the western frontier.

3. The Quartering Act: This was a law passed by the British Parliament in 1765 and again in 1774, requiring American colonies to provide housing and provisions for British soldiers stationed in America. It is not related to the restriction of colonial settlement.

4. The Sugar Act: Passed in 1764, this act was aimed at ending the smuggling trade in sugar and molasses from the French and Dutch West Indies and at providing increased revenues to fund enlarged British Empire responsibilities following the French and Indian War. It is not related to the restriction of colonial settlement.

Thus, the correct answer is The Royal Proclamation of 1763.