Proofs of Triangle Congruences

Which of the following is a correct statement and reason for the proof shown?

State if the two triangles are congruent.  If they are, state how you know.

• A

• B

• C

• D

State if the two triangles are congruent.  If they are, state how you know.

• A

• B

• C

• D

State if the two triangles are congruent.  If they are, state how you know.

• A

• B

• C

• D

What is statement #1?

• BC≅DC

• AC≅EC

• BC≅DC, AC≅EC

• ∆BCA≅∆DCE

What is statement #4?

• ∆HFG≅∆IHF

• ∆FHG≅∆IHF

• ∆GFH≅∆IFH

• ∆HFG≅∆IFH

What is Reason E?

• SSS Congruence

• SAS Congruence

• ASA Congruence

• AAS Congruence

• HL Congruence

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

• HT=TA

• HA=AH

• MA=AM

• MA=MH

What is Reason E?

• SSS Congruence

• SAS Congruence

• ASA Congruence

• AAS Congruence

• HL Congruence

What is Reason F?

• SSS Congruence

• SAS Congruence

• ASA Congruence

• AAS Congruence

• HL Congruence