In Theorem 54, if DC=3AD, BE=1/4BC, is DE parallel to AB? The picture states the theorem and shows the figure on the side. Opposte of Theoem 53Theorem 54If a line divides two sides of a triangle proportionally, then it isparallel to the third side. (Converse of Theorem 53)l AB E AD - BE%3DDCconverge3うトっち163 ffるノカGiven: AABC and DE drawn so that AD : DC = BE : EC2.1.5 ftProve: DE||AB%3D

Name: In Theorem 54, if DC=3AD, BE=1/4BC, is DE parallel to AB? The picture
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Description: In Theorem 54, if DC=3AD, BE=1/4BC, is DE parallel to AB? The picture states the theorem and shows the figure on the side. Opposte of Theoem 53Theorem 54If a line divides two sides of a triangle proportionally, then it isparallel to the third side. (

Given, DC=3AD, BE=1/4BC, To show DE parallel to AB.

Answered: Opposte of Theoem 53 Theorem 54 If a…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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In Theorem 54, if DC=3AD, BE=1/4BC, is DE parallel to AB?

The picture states the theorem and shows the figure on the side.

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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