Proofs of Congruent Triangles

What is reason #2?

• Vertical angles are congruent.

• Consecutive angles are congruent.

• Alternate interior angles are congruent.

• Definition of Bisect

What is reason #4?

• Reflexive Property

• Definition of Midpoint

• Vertical angles are congruent.

• Given

What is reason #5?

• SSS

• SAS

• ASA

• AAS

What is statement #6?

• BC≅BC

• BC≅DA

• ∠BCD≅BAC

• AB≅CD

What is the "reason" for step 5 of the proof?

• Angle Bisector Theorem

• Reflexive property

• CPCTC Theorem

• Proof

What are the 2 missing pieces of information?

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

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

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

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

Which option does not work to prove triangles congruent?

• SSS

• SAS

• ASA

• HL

• SSA

What congruency postulate proves the triangles congruency?

• SAS

• ASA

• SSS

• HL

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

• ASA

• Cannot be proven congruent

• SAS

• SSS

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

• GC = CD

• CE = CD

• ∠GCE≅∠BCE

• BD = GE