Parallel Lines Cut with a Transversal Proof

When two lines are cut by a transversal, nonadjacent exterior angles that lie on opposite sides of the transversal.

• alternate exterior

• corresponding

• consecutive interior

• alternate interior

Corresponding Angles are ___________.

• Congruent

• Supplementary

• Complementary

Alternate Interior Angles are ____________.

• Congruent

• Supplementary

• Complementary

Alternate Exterior Angles are ____________.

• Congruent

• Supplementary

• Complementary

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

Which reason should go in step 3

• Same side interior theorem

• Corresponding angles theorem

• Alternate interior angles theorem

• Alternate exterior angles theorem

Which condition will prove that line l is parallel to line m?

• ∠1 ≅ ∠3

• ∠3 ≅ ∠5

• ∠1 ≅ ∠6

• ∠6 ≅ ∠5

Angles 1 and 5 prove lines parallel... true or false?

• true

• false

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

Supply the first statement.

• m ll n

• < 4 = < 6

• Given

• Definition of parallel lines