Triangle ABC has vertices A(-2,5), B(4,3), and C (1,1). A new triangle, DEF, is defined by the point D on AB, point E on BC, and point Fon CA. Point D partitions AB so that AD:DB = 1:2, Point E partitions BC so that BE:EC = 1:3, and point F partitions CA so that CF: FA = 1:4. Find the vertices of triangle DEF D= E= F=

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 43E
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Triangle ABC has vertices A(-2,5), B(4,3), and C
(1,1). A new triangle, DEF, is defined by the
point D on AB, point E on BC, and point F on
CA. Point D partitions AB so that AD:DB = 1:2,
Point E partitions BC so that BE:EC = 1:3, and
point F partitions CA so that CF: FA = 1:4.
Find the vertices of triangle DEF
D=
E=
F=
Transcribed Image Text:Triangle ABC has vertices A(-2,5), B(4,3), and C (1,1). A new triangle, DEF, is defined by the point D on AB, point E on BC, and point F on CA. Point D partitions AB so that AD:DB = 1:2, Point E partitions BC so that BE:EC = 1:3, and point F partitions CA so that CF: FA = 1:4. Find the vertices of triangle DEF D= E= F=
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