Giving Reasons for Proofs About Angles

What is the reason for statement 2?

• Linear Pair Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles Postulate

What is the reason for statement 3?

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

What is the last line of the proof?

• $\angle4\cong\angle6$ , Definition of congruent angles

• $\angle4\cong\angle6$ , Transitive Property

• $\angle4\cong\angle6$ , Alternate Interior Angles Theorem

Fill in the reason for statement 5.

• Definition of congruent angles

• Angle Addition Postulate

• Substitution Property of Equality

• Transitive Property of Equality

Which is the correct reason for statements 2 and 4 in the proof?

• Corresponding Angles
• Substitution
• Definition of Congruent Angles
• Vertical Angles are congruent.

Which proof is incorrect? (hint: they are all valid proof but one of them is missing a step)

• 
• 
• 
• 

Which property justifies the next step?

• Definition of linear pair
• Definition of supplementary angles
• Congruent supplements thm
• Linear pair postulate

What is the reason for the next step of the proof?

• Transitive Property of Equality

• Substitution

• Addition Property of Equality

• Magic

3) What is the reason for statement 2?

• Given

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Theorem

4) What is the reason for Statement 3

• Corresponding Angles Postulate

• Linear Pair Postulate

• Same-side Interior Angles Theorem

• Vertical Angles Theorem