isaiahh223gLv4

3 May 2022

Given: Segment AC has a length of 24 units, point B lies somewhere on segment AC, and the length of segment BC is 6 units.

Prove: AB=18

           Statement:                                Reason:

1. Point B lies on segment A C             1. Given

2. AB+BC = AC                                  2. Postulate

3. AC = 24                                        3. Given

4. BC = 6                                          4. Given

5. AB+6 = 24                                    5. [?]

6. AB = 18                                        6.

 

Select the reason that best supports Statement 5 in the given proof.

A. Transitive Property

B. Subtraction Property of Equality

C. Substitution

D. Division Property of Equality