Final answer:
The 3rd Amendment protects against quartering of troops in homes during times of peace.
Step-by-step explanation:
The amendment that supports troops not being quartered in homes during times of peace is the 3rd Amendment. This amendment was added to the United States Constitution in 1791 as a response to the Quartering Act, which required colonists to provide housing and supplies to British soldiers. The 3rd Amendment protects the privacy and property rights of American citizens by ensuring that the government cannot force them to house soldiers.
Learn more about The 3rd Amendment and quartering of troops