EXERCISES 1. Prove Playfair's postulate equivalent to the alternate interior angle theorem: If two parallel lines are cut by a transversal, any pair of alternate interior angles formed are equal. 2. Criticize the following proof of Euclid's parallel postulate suggested by an argument of WW Bolvai (1775 1eso.

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
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EXERCISES
1. Prove Playfair's postulate equivalent to the alternate interior angle
theorem: If two parallel lines are cut by a transversal, any pair of alternate
interior angles formed are equal.
2. Criticize the following proof of Euclid's parallel postulate suggested by
an argument of WW Bolvai (1775 1o60.
Transcribed Image Text:EXERCISES 1. Prove Playfair's postulate equivalent to the alternate interior angle theorem: If two parallel lines are cut by a transversal, any pair of alternate interior angles formed are equal. 2. Criticize the following proof of Euclid's parallel postulate suggested by an argument of WW Bolvai (1775 1o60.
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