Given: Point B is the midpoint of segment AC and Select the reason that best segment AC = 12 supports Statement 5 in the given proof. Prove: Segment AB = 6 Statement: Reason: A. Distributive Property 1. AC =12 1. Given B. Substitution 2. B is the midpoint of AC 2. Given 3. AB = BC 3. Definition C. Division Property of Equality of a midpoint 4. Postulate 5. [ ? ] 4. AB + BC = AC D. Subtraction Property of Equality 5. AB + AB = AC 6. AB + AB = 12 6. 7. Algebra 8. Division Property of Equality 7. 2(AB) = 12 8. AB = 6

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Given: Point B is the midpoint of segment AC and
Select the reason that best
segment AC = 12
supports Statement 5 in the
given proof.
Prove: Segment AB = 6
Statement:
Reason:
A. Distributive Property
1. AC =12
2. B is the midpoint of AC
3. АВ 3 ВС
1. Given
2. Given
B. Substitution
3. Definition
of a midpoint
4. Postulate
5. [ ? ]
C. Division Property of Equality
4. AB + BC = AC
D. Subtraction Property of Equality
5. AB + AB = AC
6. AB + AB = 12
6.
7. Algebra
8. Division Property
of Equality
7. 2(AB) = 12
8. AB = 6
Transcribed Image Text:Given: Point B is the midpoint of segment AC and Select the reason that best segment AC = 12 supports Statement 5 in the given proof. Prove: Segment AB = 6 Statement: Reason: A. Distributive Property 1. AC =12 2. B is the midpoint of AC 3. АВ 3 ВС 1. Given 2. Given B. Substitution 3. Definition of a midpoint 4. Postulate 5. [ ? ] C. Division Property of Equality 4. AB + BC = AC D. Subtraction Property of Equality 5. AB + AB = AC 6. AB + AB = 12 6. 7. Algebra 8. Division Property of Equality 7. 2(AB) = 12 8. AB = 6
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