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