If the vertices of APQR lie, respectively, on the sides of AABC so that AP, BQ, and CR are concurrent, and if AB-PQ = U, AC-PR = V, and BC-QR W, show that U, V and W are collinear.

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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If the vertices of APQR lie, respectively, on the sides of AABC so that
AP, BQ, and CR are concurrent, and if AB-PQ = U, AC-PR = V, and
BC-QR W, show that U, V and W are collinear.
Transcribed Image Text:If the vertices of APQR lie, respectively, on the sides of AABC so that AP, BQ, and CR are concurrent, and if AB-PQ = U, AC-PR = V, and BC-QR W, show that U, V and W are collinear.
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