Chapter 5 - Relationships Within Triangles - 5-5 Indirect Proof - Practice and Problem-Solving Exercises - Page 320: 16

Option A can be eliminated. George Washington was not born in 1492 because that was the year Columbus discovered America. Option C can be eliminated. George Washington was not born in 1902 because George Washington could not have lived much longer than the American Revolution. Option D can be eliminated. George Washington was not born in 2002 because if he was no longer alive in 1902, then he definitely could not have been alive later than that. Option B is the correct answer. The Declaration of Independence was signed in 1776, and the American Revolution was fought shortly after this. George Washington was a general in the Continental Army, the army defending the 13 Colonies from the British. So 1732 is a plausible year of birth for Washington. Additionally, all of the other options are incorrect, so this must be the correct answer.

Option A can be eliminated. George Washington was not born in 1492 because that was the year Columbus discovered America. Option C can be eliminated. George Washington was not born in 1902 because George Washington could not have lived much longer than the American Revolution. Option D can be eliminated. George Washington was not born in 2002 because if he was no longer alive in 1902, then he definitely could not have been alive later than that. Option B is the correct answer. The Declaration of Independence was signed in 1776, and the American Revolution was fought shortly after this. George Washington was a general in the Continental Army, the army defending the 13 Colonies from the British. So 1732 is a plausible year of birth for Washington. Additionally, all of the other options are incorrect, so this must be the correct answer.