Proving with Congruent Triangles

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

• ASA

• AAS

• SAS

• Cannot be proven congruent

What missing piece of information is needed to prove the triangles congruent using SAS?

• ∠F≅∠Q

• ∠G≅∠R

• ∠H≅∠S

• FH = QS

What missing piece of information is needed to prove the triangles congruent using SAS?

• NM = AM

• NL = CA

• ∠M≅∠B

• ∠N≅∠C

What is the reason these triangles are congruent?

• SSS

• SAS

• ASA

• AAS

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

• SSS

• SAS

• AAS

• Not Possible

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

• ASA

• AAS

• SAS

• Cannot be proven congruent

What missing piece of information is needed to prove the triangles congruent using ASA?

• GC = CD

• CE = CD

• ∠GCE≅∠BCE

• BD = GE

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)

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

• LM ≅ AB

• ∆CAB ≅ ∆NLM

• ∠C ≅ ∠N

• BC ≅ ML

State if the triangles are congruent and why.

• AAS

• SAS

• ASA

• SSS