ampleie this proof of Theorem 14. Given: Transversal t intersects lines m and n; 22 = Z1. m Prove: m || n. 1. Proof Statements Reasons 1. Transversalt intersects lines m and n; 2 = Z1. 1. Given. 2. 2 2. 3. 3. 4. . m |l n. 4. If a trans. intersects two lines so that alt. int. Zs are , then the lines are |I. (T. 13) l in the

Elementary Geometry For College Students, 7e
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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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Question
mpleie this proof of Theorem 14.
Given: Transversal t intersects lines m and n;
22 = Z1.
Prove: m |l n.
1. Proof
Statements
Reasons
1. Transversal t intersects lines m and n; Z2 = Z1.
1. Given.
2. 2
2. COCTC
3.
3.
4. . m |l n.
4. If a trans. intersects two lines so that alt. int. Zs
are , then the lines are lI. (T. 13)
l in the blanks.
Transcribed Image Text:mpleie this proof of Theorem 14. Given: Transversal t intersects lines m and n; 22 = Z1. Prove: m |l n. 1. Proof Statements Reasons 1. Transversal t intersects lines m and n; Z2 = Z1. 1. Given. 2. 2 2. COCTC 3. 3. 4. . m |l n. 4. If a trans. intersects two lines so that alt. int. Zs are , then the lines are lI. (T. 13) l in the blanks.
(Theorem 14)
whai you have just learned. complete those proofs.
D
Givem AB CD; AB || CD.
Prove: AD || BC.
4. Proof
Statements
Reasons
1. AB = CD; AB || CD.
1. Given
2. AC= AC.
2.
3. 21 = 23.
3.
4. . AABC=ACDA.
4. SAS Postulate. (P. 15)
5. 22 = 24.
5.
6. . AD || BC.
6.
18
Transcribed Image Text:(Theorem 14) whai you have just learned. complete those proofs. D Givem AB CD; AB || CD. Prove: AD || BC. 4. Proof Statements Reasons 1. AB = CD; AB || CD. 1. Given 2. AC= AC. 2. 3. 21 = 23. 3. 4. . AABC=ACDA. 4. SAS Postulate. (P. 15) 5. 22 = 24. 5. 6. . AD || BC. 6. 18
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