Given the statement:
AB = CD, then AB + 6 = CD + 6
Let's determine the correct reason for the statement if the statement is used in a two-column proof.
Here, since
AB = CD
Then,
AB + 6 = CD + 6
The correct reason for this statement is the Addition Property of Equality.
The addition property of equality states that the same number can be added to both sides of an equality and the equation will remain true.
Therefore, the correct reason for the statement is Addition Property of Equality.
ANSWER:
Addition Property of Equality.