isaiahh223gLv4

3 May 2022

Given: Point B is the midpoint of segment AC, AB = 2(x-6), and BC = x 2

Prove: x=8

Statement:                                Reason:

1. B is the midpoint                        1 Given of segment AC

2. AB = BC                                    2. Definition of Midpoint

3. AB=2(x-6)                                  3. Given

4. BC=x 2                                  4. Given

5. 2(x-6) = x+2                               5. Substitution

6. 4(x-6) = x                                   6. [ ? ]

7. 4x-24 = x                                   7. Distributive Property

8. 4x = x+24                                   8.

9. 3x = 24                                       9. Subtraction Property of Equality

10. x = 8                                         10. Division Property of Equality

 

Select the reason that best supports Statement 6 in the given proof.

A. Subtraction Property of Equality

B. Addition Property of Equality

C. Multiplication Property of Equality

D. Division Property of Equality