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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
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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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.
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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