Proofs of Congruent Triangles

Identify the  missing statement or reason

• Definition of Angle Bisector

• Alternate Interior Angles Theorem

• Reflexive Property

• Definition of Midpoint

What is the correct choice for Reason 4?

• ⊿GHI ≅ ⊿JKL

• ⊿GHI ≅ ⊿KLJ

• ⊿GHI ≅ ⊿LJK

• ⊿GHI ≅ ⊿LKJ

What is the correct choice for Statement 5?

• SAS

• Definition of Congruence

• Prove

• CPCTC

What is the correct choice for Reason 4?

• SSS

• SAS

• ASA

• AAS

In this picture, we know for sure that

• <TEB=<ETS

• <BTE=<SET

• BE=ST

• BE=ST and <BET=<STE

What does CPCTC stand for?

• Corresponding Parts of Corresponding Triangles are Congruent

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Congruent

What is the "reason" for step 4 of the proof?

• proof

• AAS
  ≅ Thrm

• ASA
  ≅ Thrm

• SAS
  ≅ Thrm

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

• HA=HA

• HA=AH

• MA=AM

• MA=MA

Fill in the missing proofs.

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

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

• Reflexive Property, Vertical Angles Thm.

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

What is reason #3?

• SAS

• ASA

• SSS

• AAS