8. Given: C is midpoint of BD AB 1 BD BD I DE Prove: ΔABC ΔΕDC Statement 1. C is midpoint of BD Reason 2. AB 1 BDand BD 1 DE 3. ВС CD 4. ZBCA ZECD 5. ZABC and ZEDCare right angles 6. ZABC = ZEDC 7. AABC = AEDC
8. Given: C is midpoint of BD AB 1 BD BD I DE Prove: ΔABC ΔΕDC Statement 1. C is midpoint of BD Reason 2. AB 1 BDand BD 1 DE 3. ВС CD 4. ZBCA ZECD 5. ZABC and ZEDCare right angles 6. ZABC = ZEDC 7. AABC = AEDC
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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![8. Given: C is midpoint of BD
AB 1 BD
BD I DE
Prove: AABC = AEDC
Statement
Reason
1. Cis midpoint of BD
2. AB 1 BDand BD I DE
3. BC = CD
4. ZBCA = ZECD
5. ZABC and ZEDC are right angles
6. ZABC = ZEDC
7. ΔMBCΕ ΔΕDC](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1913ca33-c166-4453-90ca-57562584ab3c%2F916ae41a-cf34-47b1-a78d-9245a66a4434%2Fpac2ag_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8. Given: C is midpoint of BD
AB 1 BD
BD I DE
Prove: AABC = AEDC
Statement
Reason
1. Cis midpoint of BD
2. AB 1 BDand BD I DE
3. BC = CD
4. ZBCA = ZECD
5. ZABC and ZEDC are right angles
6. ZABC = ZEDC
7. ΔMBCΕ ΔΕDC
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