1. Prove that if two alternate exterior angles formed by two lines and a transversal are congruent, then the lines are parallel. (Use angles ZABG and ZECF as the two alternate exterior angles. Use only propositions E. 1 – E.16. Do not use explicitly nor implicitly Euclid's fifth postulate. D G fir. A B H C F E

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
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1. Prove that if two alternate exterior angles formed by two lines and a transversal are congruent, then the lines are
parallel. (Use angles ZABG and ZECF as the two alternate exterior angles. Use only propositions E.1 - E.16.
Do not use explicitly nor implicitly Euclid's fifth postulate.
D
A
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E
C
B H
F
G
F
HE
Transcribed Image Text:1. Prove that if two alternate exterior angles formed by two lines and a transversal are congruent, then the lines are parallel. (Use angles ZABG and ZECF as the two alternate exterior angles. Use only propositions E.1 - E.16. Do not use explicitly nor implicitly Euclid's fifth postulate. D A Search E C B H F G F HE
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