Parallel Lines and Transversals

Angles that lie on opposites sides of the transversal and outside of the parallel lines.

• Alt. Int. Angles

• Vertical Angles

• Alt. Ext. Angles

• Same-Side Int. Angles

Which two angles are supplementary

• ∠1 and ∠3

• ∠2 and ∠6

• ∠4 and ∠6

• ∠7 and ∠8

Match the following statement with its reason to complete the proof

• <1 congruent to <3

• Vertical Angles Theorem

• m is parallel to n

• Transitive Property

• <1 congruent to <2

• Converse of Corresponding Angles Postulate

• <2 congruent to <3

• Given 

Solve for x.

• 23

• -20

• 32

• 20

Assume these are parallel lines cut by a transversal.

If m∠1 = 27^o, find the m∠4.

• 27^o

• 153^o

• 63^o

• 90^o

Assume this picture shows parallel lines cut by a transversal.

Find the value of x. °

• x = 133°

• x = 47°

• x = 67°

• x = 57°

A line that passes through parallel lines is called a ______________.

• transitive

• passer through line

• transversal

• bisector

Classify the relationship between the pair of angles. ∠6 and ∠9

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Same Side Interior Angles

• None

Which is a pair of corresponding angles?

• ∠4 and ∠3

• ∠4 and ∠1

• ∠4 and ∠2

• ∠4 and ∠8

Classify the relationship between the pair of angles. ∠2 and ∠3

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Same Side Interior Angles

• None