Problem 4 What are the reasons for the last two steps of the proof? A AABC ADEC; LA ZC BAACB AECD; LA ZE © ACBA ADEC; ZB ZC DAABC ACDE; LA C O A OB OD Given Cs the midooint of AB and DE Prove LA 2 ZE Reason Statement 1 Gen Cme mpone of ABd DE 2 AC 2 EC. BC 2 DC 20Definition of a mitpoine Defintion of vertical angles ZACB ECD A SAS

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Problem 4
What are the reasons for the last two steps of the proof?
A AABC ADEC; LA LC
BAACB AECD; LA LE
© ACBA ADEC; ZB LC
DAABC ACDE; LA C
Oc
DE
O D
Given Cshe midooint of AB and,
Prove: A ZE
Reason
Staterment
Gven
Csthe mpong of AB DE
AC EC, BC DC 2Detinon of a midpoint
Defintion of vertical angles
ZACB ECD
SAS
OOOO
Transcribed Image Text:Problem 4 What are the reasons for the last two steps of the proof? A AABC ADEC; LA LC BAACB AECD; LA LE © ACBA ADEC; ZB LC DAABC ACDE; LA C Oc DE O D Given Cshe midooint of AB and, Prove: A ZE Reason Staterment Gven Csthe mpong of AB DE AC EC, BC DC 2Detinon of a midpoint Defintion of vertical angles ZACB ECD SAS OOOO
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