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
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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
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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