Converse of Parallel Lines

Which condition would prove s || t?

• Angle 1 is 108 degrees.

• Angle 2 is 108 degrees.

• Angle 3 is 72 degrees.

• Angle 1 is 72 degrees.

• Angle 2 is 72 degrees.

• Converse of Corresponding Angles Postulate

• Corresponding Angles Postulate

• Converse of Consecutive Interior Angles Theorem

• Converse of Alternate Interior Angles Theorem

• Consecutive Interior Angles Theorem

• Converse of Consecutive Interior Angles Theorem

• Converse of Alternate Interior Angles Theorem

• Converse of Corresponding Angles Theorem

Which theorem according to the drawing indicates lines CD and EF are parallel?

• Converse of Corresponding angles theorem

• Converse of Same side interior angles theorem

• Converse of Alternate exterior angles theorem

• Converse of Alternate interior angles theorem

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

Which lines are parallel, and why?

• m || n because corresponding angles are congruent

• m || n because alternate interior angles are congruent

• p || q because corresponding angles are congruent

• p || q because alternate interior angles are congruent

• 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

Match the following statement with its reason to complete the proof

• <1 congruent to <3

• Given 

• m is parallel to n

• Transitive Property

• <2 congruent to <3

• Vertical Angles Theorem

• <1 congruent to <2

• Converse of Corresponding Angles Postulate

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, 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