Congruent Triangles Proofs

Which of the following is a correct statement and reason for the proof shown?

Tags

CCSS.HSG.SRT.B.5

What is Reason C?

• SSS Congruence

• SAS Congruence

• ASA Congruence

• AAS Congruence

• HL Congruence

Tags

CCSS.HSG.SRT.B.5

What does CPCTC stand for?

• Corresponding Parts of Congruent Triangles are Congruent

• Congruent Parts of Congruent Triangles are Corresponding

• Colorful Pieces of Corresponding Triangles are Congruent

• Congruent Pieces of Congruent Triangles are Congruent

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 statement #4?

• ∆HFG≅∆IHF

• ∆FHG≅∆IHF

• ∆GFH≅∆IFH

• ∆HFG≅∆IFH

Tags

CCSS.HSG.SRT.B.5

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

What is statement #6?

• BC≅BC

• BC≅DA

• ∠BCD≅BAC

• AB≅CD

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

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)

Tags

CCSS.HSG.SRT.B.5

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

• proof

• AAS
  ≅ Thrm

• ASA
  ≅ Thrm

• SAS
  ≅ Thrm

Tags

CCSS.HSG.SRT.B.5