Parallel Lines Proof

• Substitution

• Transitive

• Defn. of Supplementary

• Linear Pairs add to 180

• Angle Addition Postulate

• A

• B

• C

• D

• Substitution

• Transitive

• Linear Pairs add to 180

• Defn. of Supplementary

• Same-Side Interior

• Substitution

• Transitive

• Corresponding

• Alternate Interior

• Vertical Angles

Which of the following relationship proves that j is parallel to k?

• ∠3 and ∠4 are supplementary

• ∠4 and ∠5 are supplementary

• ∠1 ≅ ∠3

• ∠2 ≅ ∠3

See image for question.

• 1

• 2

• 3

• 4

Which reason explains why the two lines are parallel?

• Corresponding Angles Converse

• Alt. Interior Angles Converse

• Alt. Exterior Angles Converse

• Consecutive Int. Angles Converse

• Not Enough Information to Prove Parallel

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

This question is asking you to prove that lines m and n are...

• perpendicular

• skew

• congruent

• parallel

If ∠6 is supplementary to ∠7, which of the following can be used to prove lines are parallel?

• Corresponding Angles Converse

• Alternate Interior Angles Converse

• Alternate Exterior Angles Converse

• Consecutive or same side interior Converse

• None of the above can be used