G.2ab Parallel and Perpendicular Lines Cut by a Transversal

Angle Relationships and Parallel Lines

Day 2 - Parallel Lines and Transversals

transversal

(or transversal line)

A transversal for a pair of
parallel lines is…
a line that meets each
of the parallel lines at
exactly one point

Line k is a transversal for
parallel lines l and m.

Multiple Choice

Name one pair of Alternate Interior Angles...

• e and f

• e and g

• e and d

• e and b

Multiple Choice

Name another pair of Alternate Interior Angles...

• $$60\degree$$  and g

• $$60\degree$$  and c

• $$60\degree$$  and f

• $$60\degree$$  and a

Multiple Select

Name a pair of vertical angles... SELECT ALL THAT APPLY...

• b and c

• b and d

• c and a

• e and g

• $$60\degree$$  and f

Multiple Select

Name a pair of supplementary angles...

SELECT ALL THAT APPLY...

• b and c

• b and d

• $$60\degree$$  and e

• e and f

• e and g

Multiple Choice

Identify each pair of angles.

• alternate exterior

• same-side interior

• corresponding

• alternate interior

Multiple Choice

Identify each pair of angles.

• vertical

• corresponding

• alternate exterior

• alternate interior

Multiple Choice

Name the alternate interior angle to $$\angle3$$  .

• $$\angle4$$  

• $$\angle5$$  

• $$\angle6$$  

• $$\angle8$$  

Multiple Choice

Find the value of x. 

• x = 133

• x = 47

Multiple Choice

Name the angle relationship.

• Alternate Interior

• Alternate Exterior

• Corresponding

• Vertical Angles

Multiple Choice

Which angle is a vertical angle to with $$\angle7$$  ?

• $$\angle1$$  

• $$\angle5$$  

• $$\angle3$$  

• $$\angle6$$  

• $$\angle9$$  

Multiple Choice

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

• transitive

• passer through line

• transversal

• bisector

Multiple Choice

Given the following two parallel lines cut by a transversal.

Which pair of angles represent alternate exterior angles? #1

• $$\angle4$$  and $$\angle8$$  

• $$\angle7$$  and $$\angle5$$  

• $$\angle1$$  and  $$\angle2$$  

• $$\angle6$$  and  $$\angle5$$  

Multiple Select

Two lines are cut by a transversal. Which angle pairs must be congruent for the lines to be parallel? Select all that apply. #3

• Alternate Interior

• Alternate Exterior

• Corresponding

• Consecutive Interior

Multiple Choice

Find the measure of angle 1. #4

• 28^o

• 136^o

• 44^o

• 6^o

Multiple Choice

Line l and m are cut by transversal n. Which statement proves that line l is parallel to line m? #15

• ∠2 ≅ ∠3

• ∠2 ≅ ∠6

• m∠7 + m∠8 = 180°

• m∠3 + m∠5 = 90°

Multiple Choice

Which could be used to prove the lines are parallel? #17

• Corresponding Angles Theorem

• Alternate Interior Angles Theorem

• Linear Pair Theorem

• Cannot be proved parallel

Multiple Choice

Which could be used to prove the lines are parallel? #20

• Alternate Exterior Theorem

• Corresponding Angles Theorem

• Alternate Interior Angles Theorem

• Cannot be proved parallel

Multiple Choice

What is the reason these two lines are parallel or not parallel? #21

• Corresponding Angles Theorem

• Alternate Interior Angles Theorem

• Alternate Exterior Angles Theorem

• Vertical Angles Theorem

• Consecutive Interior ( Same-Side Interior) Angles Theorem

Multiple Choice

Determine which lines, if any, must be parallel.

#29

• $$l\parallel m$$

• $$n\parallel p$$

• $$m\parallel p$$

• None of the lines are parallel.