A Given: AE = EC and DE = EB B Prove: ABCD is a p'gram Statements Reasons 1. Given 1. AE= EC and DE= EB 2. ZBEC = ZAED 2. 3. 3. SAS congruence postulate 4. ZCBE= ZADE 5. BC || AD 4. 5. Alt int L's= → lines| 6. ZAEB = ZCED 7. AAEB = ACED 8. ZDCE = ZBAE 6. 7. 8. CPCTC 9. Alt int L's → lines 9. | 10.0 10.
A Given: AE = EC and DE = EB B Prove: ABCD is a p'gram Statements Reasons 1. Given 1. AE= EC and DE= EB 2. ZBEC = ZAED 2. 3. 3. SAS congruence postulate 4. ZCBE= ZADE 5. BC || AD 4. 5. Alt int L's= → lines| 6. ZAEB = ZCED 7. AAEB = ACED 8. ZDCE = ZBAE 6. 7. 8. CPCTC 9. Alt int L's → lines 9. | 10.0 10.
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
100%
prove the given statement
![Given: AE = EC and DE = EB
Prove: ABCD is a p'gram
D
Statements
Reasons
1. AE = EC and DE= EB
1. Given
2. ZBEC = ZAED
3.
3. SAS congruence postulate
4. ZCBE = ZADE
4.
5. ВС | AD
5. Alt int 2's= → lines
6. ZAEB = ZCED
6.
ДАЕВ - АСЕD
7. C
8. ZDCE= ZBAE
8. СРСТС
9. Alt int Z's= → lines
9.
10.0
| 10.0
N3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F347d28f2-d1ca-4f39-944f-2a2ce01d57da%2Fcaca2b80-65d3-4773-9249-86ed405db8e4%2Fq9nkt0m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given: AE = EC and DE = EB
Prove: ABCD is a p'gram
D
Statements
Reasons
1. AE = EC and DE= EB
1. Given
2. ZBEC = ZAED
3.
3. SAS congruence postulate
4. ZCBE = ZADE
4.
5. ВС | AD
5. Alt int 2's= → lines
6. ZAEB = ZCED
6.
ДАЕВ - АСЕD
7. C
8. ZDCE= ZBAE
8. СРСТС
9. Alt int Z's= → lines
9.
10.0
| 10.0
N3.
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