Triangle Theorems & Proofs

What is #4 Reason?

• Alternate Interior Angles are congruent when formed by parallel lines

• Vertical Angles are congruent

• Reflexive Property

• Definition of Angle Bisector

Can the triangles be proven congruent?  If so, how?

• ASA
• AAS
• SAS
• Cannot be proven congruent

What is #2 Reason?

• Same Line

• Reflexive Property

• Segment Bisector

• Definition of Midpoint

Can the triangles be proven congruent?  If so, how?

• ASA
• AAS
• SAS
• Cannot be proven congruent

Which of the following is NOT a triangle congruence criteria?

• SAS
• AAS
• SSA
• ASA

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

• $\angle APB\cong\angle CPD$ ; Vertical angles are congruent

• $\angle A\approx\angle D$ ; Alternate Interior angles are congruent when formed by parallel lines

• $\angle C\cong\angle B$ ; Alternate Interior angles are congruent when formed by parallel lines

• $\overline{AB}\cong\overline{CD}$ ; Prove

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

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

• $\angle A\cong\angle B$ ; Reflexive Property

• $\angle1\cong\angle2$ ; Reflexive Property

• $\overline{AD}\cong\overline{DB}$ ; Midpoint Theorem

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

What triangle congruence criteria is shown in the given diagram?

• ASA
• AAS
• SSA
• HL

Can the triangles be proven congruent?  If so, how?

• ASA
• Cannot be proven congruent
• SAS
• SSS