Proving Congruent Triangles

∆ABC ≅ ∆LMN. Which statement is NOT true?

• LM ≅ AB

• ∆CAB ≅ ∆NLM

• ∠C ≅ ∠N

• BC ≅ ML

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

• SAS

• ASA

• AAS

• Not Possible

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

• ASA

• AAS

• SAS

• Cannot be proven congruent

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

• ASA

• AAS

• SAS

• Cannot be proven congruent

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

• ASA

• AAS

• SAS

• Cannot be proven congruent

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

• ASA

• Cannot be proven congruent

• SAS

• SSS

Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?

• No

• Sometimes

• Yes

• N/A

Fill in the missing pieces of the proof.

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

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

• Reflexive Property, Vertical Angles Thm.

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

Are the two triangles congruent? If so, which Triangle Congruence Theorem proves they are congruent?

• No, they are not congruent

• Yes, SAS

• Yes, SSS

• Yes, ASA

• Yes, AAS

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

• No, they are not congruent

• Yes, SAS

• Yes, SSS

• Yes, ASA

• Yes, AAS