Two Columns Proofs Congruent Triangle

What are the 2 missing pieces of information?

• Transitive Property, SAS(Side-Angle-Side)

• Reflexive Property, SAS(Side-Angle-Side)

• Transitive Property, SSS(Side-Side-Side)

• Reflexive Property, SSS(Side-Side-Side)

Identify the missing statement or reason

• Reflexive Property

• Definition of Midpoint

• Given

• Vertical Angles Theorem

Can the triangles be proven congruent?  If so, how?

• ASA

• AAS

• SAS

• Cannot be proven congruent

What is statement #2?

• ∠ABC≅∠EDC

• ∠BCA≅∠DCE

• BC≅CD

• ∠E≅∠A

What is the "statement" for step 3 of the proof? 

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED

What is statement #1?

• BC≅DC

• AC≅EC

• BC≅DC, AC≅EC

• ∆BCA≅∆DCE

What is the "reason" for step 5 of the proof?

• Vertical Angle Theorem

• AAS

• def. of angle bisector

• CPCTC 

What is the "statement" for step 3 of the proof? 

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED

What is the "statement" for step 3 of the proof? 

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED

Name the postulate, if possible, that makes the triangles congruent.

• SAS

• ASA

• AAS

• Not Possible