Question

Use the figure and flowchart proof to answer the question.

Which Property of equality accurately completes Reason B?

A). Addition Property of Equality
B). Divison Property of Equality
C). Substitution Property of Equality
D). Subtraction Property of Equality​

Answer 1

The Property of equality that accurately completes Reason B in the figure and flowchart proof is the Addition Property of Equality (A).

Step-by-step explanation:

The property of equality that accurately completes Reason B in the figure and flowchart proof is the Addition Property of Equality (A).

The Addition Property of Equality states that if you add the same number to both sides of an equation, the equality is still preserved. In other words, if A + B = B + A, you can add the same number to both sides to obtain A + B + C = B + A + C, where C is any number.

In the given figure and flowchart proof, the equation A + B = B + A represents the Addition Property of Equality, and by applying this property, we can conclude that Reason B should be completed with the Addition Property of Equality (A).

Answer 2

D Subtraction Property of Equality

Step-by-step explanation:

Whenever we subtract the same number of expression from both sides of the equation, the equality remains the same.

Reason A. - Consecutive Interior Angles

Reason B. - Substitution Property of Equality

Reason C. - Subtraction Property of Equality