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
Related questions
Question
100%
Complete the two column proof using the figure below.
STATEMENTS
1. L1 || L2
2. angle a and angle c complementary, angle a and angle c supplementary, or angle g and angle f supplementary.
3. m∠a+m∠c=180, m∠b+m∠c=180, or m∠a+m∠c=90.
4. ∠c ≅ ∠g
5. m∠d=m∠c, m∠c=m∠g, or m∠a=m∠g.
6. m∠a+m∠g=180∘
REASONS
1. Prove, substitution property, or Given.
2. Linear Pair Postulate.
3. Definition of Supplementary.
4. vertical
5. Definition of Congruency
6. reflexive property, symmetric property, substitution property.
Transcribed Image Text:Given: 4 | 2
a\b
c\d
Prove: mza + mzg = 180°
e
12
g\h
![Statements
Reasons
1. 1|| 12
1. [ Select]
2. [ Select ]
2. Linear Pair Postulate
3.
[ Select]
3. Definition of Supplementary
4. Zc Zg
4.
[ Select]
5. [ Select ]
5. Definition of Congruency
6. m/a + m/g = 180°
6. [ Select ]
>](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73e938bd-40c8-446e-9734-d63c9da8ee29%2Fdfa575a3-1e4b-422f-a593-94d19aefcafa%2Fea5ba1q_processed.png&w=3840&q=75)
Transcribed Image Text:Statements
Reasons
1. 1|| 12
1. [ Select]
2. [ Select ]
2. Linear Pair Postulate
3.
[ Select]
3. Definition of Supplementary
4. Zc Zg
4.
[ Select]
5. [ Select ]
5. Definition of Congruency
6. m/a + m/g = 180°
6. [ Select ]
>
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