Final answer:
The Third Amendment protects you from having to house soldiers in your home without your consent, ensuring your right to privacy within your own property.
Step-by-step explanation:
The amendment that protects you from having to allow soldiers to sleep in your home until the military base has been repaired is Amendment 3. The Third Amendment clearly states that no soldier shall, in time of peace be quartered in any house, without the consent of the Owner, nor in time of war, but in a manner to be prescribed by law.
This amendment reflects a broader idea of a “zone of privacy” within our homes that the government should not violate unless absolutely necessary. While it has not been incorporated to the States by the Supreme Court, mainly because the issue has not been pertinent in modern times, it remains an important part of the Constitution that protects citizens' rights on this matter.