Parallel Lines Transversals Proof

What is the measure of ∠6?

• 55

• 155

• 45

• 135

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

What is the measure of ∠8?

• 55

• 155

• 135

• 45

What type of angle pair is ∠1 and ∠5?

• alternate interior angles

• corresponding angles

• alternate exterior angles

• vertical angels. 

When two parallel lines are cut by a transversal, all pairs of angles created are either _________ or _________.

• Congruent, supplementary

• Congruent, complementary

• Supplementary, complementary

• Corresponding, vertical

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

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

• true

• false

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

Alternate Exterior Angles are ​ (a)   . Consecutive Exterior Angles are ​ (b)   .

Alternate Interior Angles are ​ (c)   . Consectuive Interior Angles are ​ (d)   .

• congruent

• supplementary