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Given: 1, | l2 a\b c\d 4 Prove: mza + mzg = 180° e 12 9\h

Given: 1, | l2 a\b c\d 4 Prove: mza + mzg = 180° e 12 9\h

Elementary Geometry For College Students, 7e
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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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 angles are congruent, same side interior angles are supplementary, or corresponding angles are congruent.

5. Definition of Congruency

6. reflexive property, symmetric property, substitution property.

Given: 4 | 2 a\b c\d Prove: mza + mzg = 180° e 12 g\h
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 ] >
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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