Parallel Transversal Proof

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

• Consecutive Interior Angles Converse

• none of the above

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

• Consecutive Interior Angles Converse

• None of the above can be used

If ∠1 ≅ ∠8, which of the following can be used to prove lines are parallel?

• Corresponding Angles Converse

• Alternate Interior Angles Converse

• Alternate Exterior Angles Converse

• Consecutive Interior Angles Converse

• None of the above can be used

• Substitution Property

• Transitive Property

• Corresponding Angles Postulate

• Alternate Interior Angles Theorem

• Vertical 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

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 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

Line l and m are cut by transversal n.  Which statement proves that line l is parallel to line m?

• ∠2 ≅ ∠3

• ∠2 ≅ ∠6 

• m∠7 + m∠8 = 180°

• m∠3 + m∠5 = 90°

Which value of x will show that lines l and m are parallel?

• 20

• 22

• 24

• 25

Supply the first statement.

• m ll n

• < 4 = < 6

• Given

• Definition of parallel lines