Given: GE bisects ZDEF, ZD=ZF Prove: ADGE = AFGE Symmetric property Reflexive property Transitive property Definition of midpoint Definition of angle bisector ASA SSS AAS SAS Statement Reason 1. GE bisects ZDEF 1. Given 2. ZDz ZF 2. Given 3. ZDEG= ZFEG 3. 4. GE=GE 4. 5. ΔDGE Δ'GE 5.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Justify the reasons for the proof.

Justify the reasons for the proof.
Given: GE bisects ZDEF, ZD= ZF
Prove: ADGE AFGE
E
Symmetric property
Reflexive property
Transitive property
ODefinition of midpoint
O Definition of angle bisector
O ASA
SS
AAS
• SAS
Statement
Reason
1. GE bisects ZDEF
1. Given
2. ZD= ZF
2. Given
3. ZDEG = ZFEG
3.
4. GE=GE
4.
5. ADGE = AFGE
5.
Transcribed Image Text:Justify the reasons for the proof. Given: GE bisects ZDEF, ZD= ZF Prove: ADGE AFGE E Symmetric property Reflexive property Transitive property ODefinition of midpoint O Definition of angle bisector O ASA SS AAS • SAS Statement Reason 1. GE bisects ZDEF 1. Given 2. ZD= ZF 2. Given 3. ZDEG = ZFEG 3. 4. GE=GE 4. 5. ADGE = AFGE 5.
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