Intro to Parallel Line Proofs

If it is given that p ∥ q, what are ALL correct statements that can be made?

• ∠1 ≅ ∠3 by the corresponding angles postulate

• ∠2 and ∠3 are supplementary by the linear pairs postulate

• ∠1 ≅ ∠2 by the alternate exterior angles theorem

Which lines are proven parallel if Angles 12&7 are used?

• l & m

• s & t

Which lines are proven parallel if Angles 2 and 4 are used?

• s & t

• l & m

Which lines are proven parallel if Angles 6 and 10 are used?

• none

• l & m

• s & t

Which theorem explains why the two lines are parallel?

• Alt. Exterior Angles Thm

• Same Side Int. Angles Post

• Alt. Exterior Angles Converse

• Same Side Int. Angles Converse

Which Statement restates the Given?

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• 
• 
• 

• Transitive Property of Equality

• Substitution

• Reflexive Property of Equality

• Transitive Property of Congruence

If you know that angle 4 ≅ angle 6, how can you prove PQ||RS?

• Converse of corresponding angle theorem

• Converse of alternate interior angles theorem

• Converse of same side interior angles postulate

• Converse of alternate exterior angles theorem

• A

• B

• C

• D

What is the reason for Statement 3?

• Vertical Angles Theorem

• Transitive Property of Congruence

• Converse of Corresponding Angles Theorem