Reorder the steps of the proof to make sure that steps that are logically dependent on prior steps are in the proper order. Given: AB AC and BE CE. Prove: ZBDE ZCDE.
Reorder the steps of the proof to make sure that steps that are logically dependent on prior steps are in the proper order. Given: AB AC and BE CE. Prove: ZBDE ZCDE.
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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Transcribed Image Text:Given: AB AC and BE CE.
Prove: ZBDE ZCDE.
Step
Statement
Reason
AB AC
1
Given
BE 스 CE
Corresponding Parts of Congruent Triangles are Congruent
(СРСТС)
2
ZBDE = ZCDE
3.
DE DE
Reflexive Property
Corresponding Parts of Congruent Triangles are Congruent
(СРСТС)
4
ZBED ZOCED
5.
AE 스 AE
Reflexive Property
6.
AABE AACE
SSS
ABED ACED
SAS
B
A

Transcribed Image Text:Reorder the steps of the proof to make sure that steps that are logically dependent on
prior steps are in the proper order.
Given: AB = AC and BE CE.
Prove: ZBDE ZCDE.
Step
Statement
Reason
AB AC
1
Given
BE CE
Corresponding Parts of Congruent Triangles are Congruent
(СРСТС)
ZBDE LOCDE
3
DE DE
Reflexive Property
Corresponding Parts of Congruent Triangles are Congruent
(СРСТC)
ZBED LCED
4
AE AE
Reflexive Property
AABE A ACE
SSS
ABED ACED
SAS
B
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