Theorem: If 3 or more parallel lines gre cut by 2 transversals, then the segments of the transversals are in proportion. y By drawing an auxiliary line to create two similar triangles that share a common side, v will show: x' y y'

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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We are golng to do an informal proof of the following theorem:
Theorem: If 3 or more parallel lines are cut by 2 transversals, then the segments of the
transversals are in proportion.
By drawing an auxiliary line to create two similar triangles that share a common side, w
will show:
x'
y
y'
Transcribed Image Text:We are golng to do an informal proof of the following theorem: Theorem: If 3 or more parallel lines are cut by 2 transversals, then the segments of the transversals are in proportion. By drawing an auxiliary line to create two similar triangles that share a common side, w will show: x' y y'
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