Congruent Triangle Proofs with CPCPTC

What is statement #4?

• ∆HFG≅∆IHF

• ∆FHG≅∆IHF

• ∆GFH≅∆IFH

• ∆HFG≅∆IFH

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

• Angle Bisector Theorem

• Reflexive property

• CPCTC Theorem

• Proof

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 #2?

• Vertical angles are congruent.

• Consecutive angles are congruent.

• Alternate interior angles are congruent.

• Definition of Bisect

• CPCTC

• Reflexive Property

• definition of isosceles triangle

• all right angles are congruent

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

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED

What is Reason F?

• CPCTC

• Given

• Definition of Congruence

• Definition of Perpendicular

Fill in the blank.

• Given

• Reflexive Property

• Transitive Property

• They're the same side!!!!!! 

Determine the response for #4 in the proof.

• Given

• All right angles are congruent

• angle ECD is congruent to angle ACB

• triangle CDE is congruent to triangle CBA

• CPCTC

What is the correct choice for Reason 5?

• SAS

• Definition of Congruence

• Prove

• CPCTC

Answer explanation

After the triangles are proven congruent on line 4, we can prove the sides are congruent by CPCTC.

After you prove the triangles congruent, everything else is CPCTC.