Opposte of Theoem 53 Theorem 54 If a line divides two sides of a triangle proportionally, then it is parallel to the third side. (Converse of Theorem 53) l AB E AD - BE %3D DC converge 3うトっち 16 3 ff るノカ Given: AABC and DE drawn so that AD : DC = BE : EC 2. 1.5 ft Prove: DE||AB %3D

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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ChapterP: Preliminary Concepts
SectionP.CT: Test
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In Theorem 54, if DC=3AD, BE=1/4BC, is DE parallel to AB? 

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Opposte of Theoem 53
Theorem 54
If a line divides two sides of a triangle proportionally, then it is
parallel to the third side. (Converse of Theorem 53)
l AB E AD - BE
%3D
DC
converge
3うトっち
16
3 ff
るノカ
Given: AABC and DE drawn so that AD : DC = BE : EC
2.
1.5 ft
Prove: DE||AB
%3D
Transcribed Image Text:Opposte of Theoem 53 Theorem 54 If a line divides two sides of a triangle proportionally, then it is parallel to the third side. (Converse of Theorem 53) l AB E AD - BE %3D DC converge 3うトっち 16 3 ff るノカ Given: AABC and DE drawn so that AD : DC = BE : EC 2. 1.5 ft Prove: DE||AB %3D
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