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
Related questions
Question
Transcribed Image Text:Use the given information to complete the proof of the following theorem.
If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.
E
Given: FE || HG
FH
Prove:
EG
D
HD
GD
H
F
Transcribed Image Text:FE || HG
Given
2 ZDFE |
If lines , then corr. Zs
3 ZD ZD
Reason ?
4 ADEF A
AA Similarity Property
FD
ED
5.
HD
GD
Reason ?
6 FD FH +|
Segment Addition Property
7 ED EG +|
Segment Addition Property
FH + HD
8.
EG+ GD
Reason ?
HD
GD
FH
HD
EG
GD
Fraction Algebra
6.
HD
HD
GD
GD
FH
EG
+ 1=
GD
+ 1
10
HD
Fraction Algebra
FH
11
HD
Reason ?
GD
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