What are the correct statements and reas ons for com pleting this proof? Given: BD || AE B AB DE Prove: -%3D 3! BC CD E AB DE DC BC Same-Side Interior Angles Addition Property of Equality AB ED BC DC Corresponding Angles AA- Segment Addition Postulate Reason Statement Given BD I AE LCBD = LCAE LCDB = ZCEA ΔΒCD-ΔACE AC CE Triangle Proptionality Theorem BC DC AB + BC = AC DC+ ED = CE AB+BC DCHED Substitution Property BC DC ED Rewriting Fractions CD t. DC BC AB BC BC DC

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 28E: In the proof below, provide the missing reasons. Given: 1 and 2 are complementary 1 is acute Prove:...
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What are the correct statements and reas ons for com pleting this proof?
Given: BD || AE
B
AB
Prove:
BC
DE
CD
AB DE
Same-Side Interior Angles
Addition Property of Equality
AB ED
AA-
Segment Addition Postulate
Corresponding Angles
DC BC
Reason
Statement
Given
BD I AE
ZCBD LCAE
LCDB LCEA
ARCD AACE
AC
CE
Trangle PropuTionality Theorem
BC
DC
AB + BC=AC
DC+ ED = CE
Substitution Property
DC+ED
+.
BC
AB+BC
DC
AR
ED
Rewnting Fractions
BC
Transcribed Image Text:What are the correct statements and reas ons for com pleting this proof? Given: BD || AE B AB Prove: BC DE CD AB DE Same-Side Interior Angles Addition Property of Equality AB ED AA- Segment Addition Postulate Corresponding Angles DC BC Reason Statement Given BD I AE ZCBD LCAE LCDB LCEA ARCD AACE AC CE Trangle PropuTionality Theorem BC DC AB + BC=AC DC+ ED = CE Substitution Property DC+ED +. BC AB+BC DC AR ED Rewnting Fractions BC
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