Triangle Congruence Proofs

What does CPCTC stand for?

• Congruent parts of congruent triangles are congruent

• Corresponding parts of congruent triangles are congruent

• Corresponding parts of corresponding triangles are corresponding

Tags

CCSS.HSG.SRT.B.5

When do you use "CPCTC" in a proof?

• ALWAYS at the beginning

• ALWAYS at the end

• It's optional

• Never

Tags

CCSS.HSG.SRT.B.5

When using hypotenuse leg (HL) in a proof, you must first know...

• CPCTC

• there are right angles

• that vertical angles are congruent

• the reflexive property

Tags

CCSS.HSG.SRT.B.5

What is Reason B?

• Definition of Congruence

• Given

• Reflexive Property

• CPCTC

Tags

CCSS.HSG.SRT.B.5

What is Reason C?

• SSS

• SAS

• ASA

• AAS

• HL

Tags

CCSS.HSG.SRT.B.5

What is Reason B?

• Reflexive Property

• Definition of Congruence

• CPCTC

• Given

Tags

CCSS.HSG.SRT.B.5

What is Reason C?

• SSS

• SAS

• CPCTC

• HL

• Prove

Tags

CCSS.HSG.SRT.B.5

Which of the following is a correct statement and reason for the proof shown? Select ALL that apply

• $\overline{FG}\cong\overline{FG}$ ; Midpoint Theorem

• $\overline{FG}\cong\overline{FG}$ ; Reflexive

• $\overline{DG}\cong\overline{GE}$ ; Midpoint theorem

• $\overline{DF}\cong\overline{FE}$ ; Definition of a Bisector

Tags

CCSS.HSG.SRT.B.5

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

• $\overline{JK}\cong\overline{JK}$ ; Reflexive Property

• $\angle M\cong\angle L$ ; Reflexive Property

• $\overline{MJ}\cong\overline{LK}$ ; Midpoint Theorem

• $\overline{MK}\cong\overline{LJ}$ ; Hypotenuse Congruence

Tags

CCSS.HSG.SRT.B.5

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

• $\angle P\cong\angle Q$ ; SAS

• $\angle P\cong\angle Q$ ; CPCTC

• $\angle P\cong\angle Q$ ; SSS

• $\angle P\cong\angle Q$ ; SSA

Tags

CCSS.HSG.SRT.B.5