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

Given: if the vertices of triangle PQR lie on the sides of Triangle ABC so that AP,BQ and Cr are…

Answered: If the vertices of APQR lie,…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.5: Equations Of Lines

Problem 44E: For isosceles PNQ, the vertices are P-2a,0, N2a,0, and Q0,2b. In terms of a, and b, find the...

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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.