Final answer:
The correct reasons to complete the proof are the Addition Property of Equality, the Subtraction Property of Equality, the Multiplication Property of Equality, and the Division Property of Equality.
Step-by-step explanation:
A. Addition Property of Equality
B. Subtraction Property of Equality
C. Multiplication Property of Equality
D. Division Property of Equality
To complete the proof, we need to choose the correct reasons for A, B, C, and D.
For example, if we want to prove that A + B = B + A, we can use the Addition Property of Equality as the reason. This property states that adding the same number to both sides of an equation does not change equality.