Consider triangle ABC and triangle DEF graphed on the coordinate plane. 10 B 6 D -10-9 -8 -7 -6--4 -3 -2 -1 3 10 -1 A F -5 9- -7 -8 -10 James concurs that since D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of CA, then the perimeter of triangle DEF will be half the perimeter of triangle АВС. Determine if James is corect or incorrect. Justify your answer

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.4: Basic Constructions Justified
Problem 38E
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James concurs that since D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of CA, then the perimeter of triangle DEF will be half the perimeter of the triangle ABC.
Consider triangle ABC and triangle DEF graphed on the coordinate plane.
10
B
D
-10-9- -7-6-
-4-3-2 -
3
10
A
F
-5
9-
-7
-8
-9
-10
James concurs that since D is the midpoint of AB, E is the midpoint of BC, and F is the
midpoint of CA, then the perimeter of triangle DEF will be half the perimeter of triangle
АВС.
Determine if James is corect or incorrect. Justify your answer
Transcribed Image Text:Consider triangle ABC and triangle DEF graphed on the coordinate plane. 10 B D -10-9- -7-6- -4-3-2 - 3 10 A F -5 9- -7 -8 -9 -10 James concurs that since D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of CA, then the perimeter of triangle DEF will be half the perimeter of triangle АВС. Determine if James is corect or incorrect. Justify your answer
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