Proving Congruent Triangles

State if the triangles are congruent and why.

• AAS

• SAS

• ASA

• SSS

State if the triangles are congruent and why.

• Not congruent

• AAS

• SSS

• ASA

Including the Reflexive Property, state whether the triangles are congruent and why.

• no, not enough information

• yes, SAS

• yes, ASA

• yes, HL

Including Vertical Angles are Congruent, state whether the triangles are congruent and why.

• yes, AAS

• yes, SAS

• yes, ASA

• no, not enough information

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

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED

Which triangle congruence theorem can be used to prove the triangles are congruent?

• SAS

• SSA

• ASA

• AAS

• SAS
• SSS
• AA
• not enough information to prove similarity

What is statement #1?

• BC≅DC

• AC≅EC

• BC≅DC, AC≅EC

• ∆BCA≅∆DCE

What is statement #2?

• ∠ABC≅∠EDC

• ∠BCA≅∠DCE

• BC≅CD

• ∠E≅∠A

What is statement #4?

• ∆HFG≅∆IHF

• ∆FHG≅∆IHF

• ∆GFH≅∆IFH

• ∆HFG≅∆IFH