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=
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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Question
![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=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77f09402-8115-48ff-a805-8ab7b4f9c38e%2F827e7063-2db4-41f7-8c21-7ce8641a11ba%2F91xb8ps_processed.jpeg&w=3840&q=75)
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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