Given: E is the midpoint of AB and CD Prove: ΔΑEC - ΔΒED C

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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Given: E is the midpoint of AB and CD
Prove: AAEC= ABED
Statements
Reasons
E is the midpoint of ABand CD
Given
AE = BE
CE = DE
ZAEC = ZBED
ΔΑEC ΔΒΕD
: Alternate Interior Angles
:: Corresponding Angles
:: Definition of Angle Bisector
:: Definition of Midpoint
:: Given
:: Reflexive Property
:: Vertical Angles Theorem
:: SSS
:: SAS
Transcribed Image Text:Given: E is the midpoint of AB and CD Prove: AAEC= ABED Statements Reasons E is the midpoint of ABand CD Given AE = BE CE = DE ZAEC = ZBED ΔΑEC ΔΒΕD : Alternate Interior Angles :: Corresponding Angles :: Definition of Angle Bisector :: Definition of Midpoint :: Given :: Reflexive Property :: Vertical Angles Theorem :: SSS :: SAS
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