Congruent Triangle Proofs with CPCPTC

What is statement #4?

• ∆HFG≅∆IHF

• ∆FHG≅∆IHF

• ∆GFH≅∆IFH

• ∆HFG≅∆IFH

Tags

CCSS.HSG.SRT.B.5

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

• Angle Bisector Theorem

• Reflexive property

• CPCTC Theorem

• Proof

Tags

CCSS.HSG.SRT.B.5

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)

Tags

CCSS.HSG.CO.C.9

What is reason #2?

• Vertical angles are congruent.

• Consecutive angles are congruent.

• Alternate interior angles are congruent.

• Definition of Bisect

Tags

CCSS.HSG.SRT.B.5

• CPCTC

• Reflexive Property

• definition of isosceles triangle

• all right angles are congruent

Tags

CCSS.HSG.SRT.B.5

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

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED

Tags

CCSS.HSG.SRT.B.5

What is Reason F?

• CPCTC

• Given

• Definition of Congruence

• Definition of Perpendicular

Tags

CCSS.HSG.SRT.B.5

Fill in the blank.

• Given

• Reflexive Property

• Transitive Property

• They're the same side!!!!!! 

Tags

CCSS.HSG.SRT.B.5

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

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.B.5