5.6 triangle proofs with parallel lines

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.SRT.B.5

What is reason #3?

• SAS
• ASA
• SSS
• AAS

Tags

CCSS.HSG.SRT.B.5

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.CO.C.11

What is reason #4?

• Reflexive Property
• Definition of Midpoint
• Vertical angles are congruent.
• Given

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

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

• Angle Bisector Theorem
• Reflexive property
• CPCTC Theorem
• Proof

Tags

CCSS.HSG.SRT.B.5