Given AB LBD, ED & BD, ZABC » ZEDC Prove ZCBD & ZCDB W

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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4. Given AB LBD, ED & BD, ZABC ZEDC
Prove ZCBD ZCDB
STATEMENTS
1. 40 L 85
ED L BD
2. ZABD is a right angle
ZEDN iss right angle
nên
LEDB-90
4. ZABC+ CBD
<-90"
MZEDC MCDB
<-90"
5. ZABC ZEDC
6. m2ABC-mKDC
7. ABC+ m2CBD
MZEDC 2CDB
REASONS
8 m2EDC+ CRD
m2KDC m2CDB
9. MZCBD = m2CDB
10. ZCBD = ZCDB
Given
def of
congruence
Transcribed Image Text:4. Given AB LBD, ED & BD, ZABC ZEDC Prove ZCBD ZCDB STATEMENTS 1. 40 L 85 ED L BD 2. ZABD is a right angle ZEDN iss right angle nên LEDB-90 4. ZABC+ CBD <-90" MZEDC MCDB <-90" 5. ZABC ZEDC 6. m2ABC-mKDC 7. ABC+ m2CBD MZEDC 2CDB REASONS 8 m2EDC+ CRD m2KDC m2CDB 9. MZCBD = m2CDB 10. ZCBD = ZCDB Given def of congruence
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