Parallel Line Theorems and Converse

If ∠2 is supplementary to ∠3, then line a is parallel to line _.

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

If ∠1 ≅ ∠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 ∠2 ≅ ∠10, then ________.

If ∠2 ≅ ∠10, 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 ∠9 ≅ ∠12, then ________.

• line a is parallel to line b

• line d is parallel to line c

• none of the lines can be determined to be parallel.

• line a is parallel to line d

• line c is parallel to line b

If ∠9 ≅ ∠12, 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