Parallel Lines and Proofs

If ∠2 is supplementary to ∠3, which of the following can be used to determine lines are parallel?

• Corresponding Angles Converse

• Alternate Interior Angles Converse

• Alternate Exterior Angles Converse

• Interiors on Same Side Converse

• None of the above

If ∠8 ≅ ∠6, then ________.

• line b is parallel to line a

• line c is parallel to line a

• line b is parallel to line d

• line c is parallel to line d

• Cannot determine 2 lines to be parallel.

If ∠8 ≅ ∠6, which of the following can be used to determine lines are parallel?

• Corresponding Angles Converse

• Alternate Interior Angles Converse

• Alternate Exterior Angles Converse

• Interiors on Same Side Converse

• none of the above

If ∠1 ≅ ∠3, then ________.

• line c is parallel to line d

• line a is parallel to line b

• Cannot determine 2 lines to be parallel.

• line c is parallel to line a

• line b is parallel to line d

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

• perpendicular

• skew

• congruent

• parallel

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 ∠5 ≅ ∠10, which of the following can be used to prove lines are parallel?

• Corresponding Angles Converse

• Alternate Interior Angles Converse

• Alternate Exterior Angles Converse

• Interiors on Same Side Converse

• None of the above can be used

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

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