Prove that the Euclidean parallel postulate is equivalent to the following statement: If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 7SGR
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Prove that the Euclidean parallel postulate is equivalent to the following statement: If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other. 

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