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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Topic Video
Question
![Proofs
Acellus
Given: Line segment PQ has a length of 3(x+7),
PQ = QR, and QR = 84
Select the reason that best
supports Statement 6 in the
given proof.
Prove: x = 21
Statement:
Reason:
A. Reflexive Property
1. PQ = QR
2. PQ = QR
3. PQ = 3(x + 7)
4. QR 84
5. 3(x + 7) = 84
1. Given
2. Congruency
B. Distributive Property
3. Given
C. Division Property of Equality
4. Given
5. Substitution
D. Substitution
6. [ ? ]
7. Subtraction Property
of Equality
6.3x + 21 = 84
7. 3x = 63
8. x = 21
8.
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Transcribed Image Text:Proofs
Acellus
Given: Line segment PQ has a length of 3(x+7),
PQ = QR, and QR = 84
Select the reason that best
supports Statement 6 in the
given proof.
Prove: x = 21
Statement:
Reason:
A. Reflexive Property
1. PQ = QR
2. PQ = QR
3. PQ = 3(x + 7)
4. QR 84
5. 3(x + 7) = 84
1. Given
2. Congruency
B. Distributive Property
3. Given
C. Division Property of Equality
4. Given
5. Substitution
D. Substitution
6. [ ? ]
7. Subtraction Property
of Equality
6.3x + 21 = 84
7. 3x = 63
8. x = 21
8.
Copyright 2003 - 2021 Acellus Corporation. All Rights Reserved.
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