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
![What is the reason for #6?
Given: DE||BC
Prove: AD AE
DB EC
B
Statement
Reason
1. DE||BC
1.
2. mLA = m2A
2.
3. MLAED = MLACB
3.
4. ΔACB ~ΔΑED
4.
AD
5.
AB
AE
5.
%3D
EC
6. AD + DB = AB
6.
AE + EC = AC
AD
7.
AD+DB
AE
7.
AE+EC
8. AD(AE + EC) = AE(AD + DB)
8.
9. AD · AE + AD · EC = AE · AD + AE · DB
9.
10. AD · EC = AE · DB
10.
AD
11.
DB
AE
11.
%3D
EC](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5495a9f-0bd3-42a8-adbb-3aa01bf782d4%2F46c579fd-8100-47ea-b7b5-e6ed75972e9d%2Ft0whz5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:What is the reason for #6?
Given: DE||BC
Prove: AD AE
DB EC
B
Statement
Reason
1. DE||BC
1.
2. mLA = m2A
2.
3. MLAED = MLACB
3.
4. ΔACB ~ΔΑED
4.
AD
5.
AB
AE
5.
%3D
EC
6. AD + DB = AB
6.
AE + EC = AC
AD
7.
AD+DB
AE
7.
AE+EC
8. AD(AE + EC) = AE(AD + DB)
8.
9. AD · AE + AD · EC = AE · AD + AE · DB
9.
10. AD · EC = AE · DB
10.
AD
11.
DB
AE
11.
%3D
EC
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