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Triangle Congruence and Two Column Proofs
Contributed by: Miles
What triangle congruency theorem can be used 
to prove the triangles are congruent?
SAS
AAS
 Not necessarily Congruent
SSS
What triangle congruency theorem can be used 
to prove the triangles are congruent?
SSS
SAS
ASA
 Not necessarily congruent
What triangle congruency theorem can be used 
to prove the triangles are congruent?
SAS
AAS
 Not necessarily congruent
SSS
What triangle congruency theorem can be used 
to prove the triangles are congruent?
 Not necessarily congruent
HL
AAS
SAS
SSS
AAS
 Not necessarily congruent
What triangle congruency theorem can be used 
to prove the triangles are congruent?
SAS
What triangle congruency theorem can be used 
to prove the triangles are congruent?
SSS
HL
AAS
 Not necessarily congruent
What triangle congruency theorem can be used 
to prove the triangles are congruent?
ASA
SSS
HL
SAS
What triangle congruency theorem can be used 
to prove the triangles are congruent?
 HL
Not necessarily congruent
SAS
AAS
What triangle congruency theorem can be used 
to prove the triangles are congruent?
 Not necessarily congruent
SSS
ASA
AAS
What triangle congruency theorem can be used 
to prove the triangles are congruent?
SSS
AAS
SAS
 ASA
Use the information in the diagram to prove that 
Drag and drop the appropriate reasons.
Given
?
Given
Reflexive Property of Congruence
?
SSS Congruence
?
ΔLMNΔLON
Drag and drop the appropriate reasons.
Use the information in the diagram to prove that 
AAS Congruence
?
Alternate Interior Angles 
?
Reflexive Property of Congruence
?
Given
?
Right angles are congruent
?
ΔQSTΔTRQ
Drag and drop the appropriate reasons.
SAS Congruence
?
Given
Given
?
Vertical angles are congruent
?
Use the information in the diagram to 
prove that 
ΔGIHΔKIJ
Drag and drop the appropriate reasons.
Use the information in the diagram to prove 
that 
AAS Congruence
?
Reflexive Property of Congruence
?
Given
Given
?
ΔHKJΔJIH
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