Proofs of Parallel Lines

Supply the second reason.

• Linear Pair Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles Postulate

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

The last statement is <4 = <6. What is the last reason

• Prove

• Definition of congruent angles

• Transitive Property

• Alternate Interior Angles Theorem

Fill in the reason for number 5. 

• Definition of congruent angles
• Angle Addition Postulate
• Substitution Property
• Transitive Property

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?

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Which property justifies the next step?

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

What is the reason?

• Transitive 
• Substitution
• Middle Man
• Replacing 

What is the REASON for Statement #2?

• Given
• Definition of Complementary Angles
• Substitution Property
• Reflexive Property of Congruence

If angles are supplementary to the same angle then those two angles are congruent

• Congruent Supplements
• Multiplication Property