Proving Lines Parallel Converses

• Consecutive Interior Angles Theorem

• Converse of Consecutive Interior Angles Theorem

• Converse of Alternate Interior Angles Theorem

• Converse of Corresponding Angles Theorem

• Yes, vertical angles are congruent

• No, vertical angles are not enough to prove lines parallel

• Yes, corresponding angles are congruent

• Yes, alternate interior angles are congruent

Which could be used to prove the lines are parallel?

• Converse of Vertical Angles

• Converse of Alternate Interior Angles Theorem

• Converse of Corresponding Angles Postulate

• Cannot be proved parallel

Which could be used to prove the lines are parallel?

• Converse of Corresponding Angles Postulate

• Converse of Alternate Interior Angles Theorem

• Converse of Linear Pair

• Cannot be proved parallel

• No

• Yes, Corresponding angles are congruent

• Yes, Alternate Interior angles are congruent

• Yes, Alternate Exterior angles are congruent

• No

• Yes, Corresponding angles are congruent

• Yes, Alternate Interior angles are congruent

• Yes, Alternate Exterior angles are congruent

Yes, corresponding angles are congruent

• No

• Yes, corresponding angles are congruent

• Yes, consecutive interior angles are congruent

• Yes, Alternate exterior angles are congruent

What value of x would make line m || line n?

• 54

• 126

Given the angle measure in the diagram, which two lines MUST be parallel?

• P and Q

• R and S

• R and T

• S and T

What reason is missing from this proof?

• Reflexive Property of Congruence

• Transitive Property of Equality

• Transitive Property of Congruence