Basic Triangle Congruence Proofs

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

• A

• B

• C

• D

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

Use the reasons below to complete the proof.

e

f

g

h

def of segment bisector

angle addition

def of angle bisector

SSS

corresponding angles

given

reflexive property

SAS

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

• SAS

• ASA

• AAS

• Not Possible

What is Reason E?

• SSS Congruence

• SAS Congruence

• ASA Congruence

• AAS Congruence

• HL Congruence

Are the triangles congruent, if yes, why?

• SAS

• ASA

• AAS

• Not Congruent

What is Reason F?

• SSS Congruence

• SAS Congruence

• ASA Congruence

• AAS Congruence

• HL Congruence

What is Reason E?

• SSS Congruence

• SAS Congruence

• ASA Congruence

• AAS Congruence

• HL Congruence