△EGH≅△FHG. Complete the proof that △EFH≅△FEG.
E
F
G
H
I
Statement Reason
1 △EGH≅△FHG Given
2
EH
≅
FG
AAS
ASA
CPCTC
Definition of congruence
Reflexive Property of Congruence
Reflexive Property of Equality
SAS
SSS
Substitution
Transitive Property of Congruence
Transitive Property of Equality
3
EG
≅
FH
CPCTC
4
EF
≅
EF
AAS
ASA
CPCTC
Definition of congruence
Reflexive Property of Congruence
Reflexive Property of Equality
SAS
SSS
Substitution
Transitive Property of Congruence
Transitive Property of Equality
5 △EFH≅△FEG SSS
6. ∆EHF ≅ ∆FGH - CPCTC (congruent parts of congruent triangles are congruent)
7. ∆EFH ≅ ∆FEG - AAS (two angles and the side between them are congruent in both triangles)