3.2 transversal of parallel lines

Transversals

• A transversal is a line that intersects at least two other lines

• The two other lines, l₁ and l₂ in the diagram, could be parallel, but do not have to be

Angle Relationships

When lines are intersected by a transversal, multiple angles are created.

Alternate interior angles

Multiple Choice

Solve for  y.

• y = 20
• y = 120
• y = 60
• y = 10

Same side interior angles

Alternate Exterior angles

Corresponding angles

Multiple Choice

Vocabulary: Angles that are next to each other (share a side)

• adjacent
• complementary
• vertical
• corresponding 

Multiple Choice

Vocabulary: Angles that are across from each other 

• adjacent
• complementary
• vertical
• corresponding 

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Multiple Choice

Solve for x.

• 21
• 4
• 8
• 5

Multiple Choice

Find the measure of the angle indicated in bold.

• A

• B

• C

• D

Multiple Choice

Solve for x.

• A

• B

• C

• D

Multiple Choice

find the measure of angle C

• ∠C=116°
• ∠C=64°
• ∠C=180°
• ∠C=26°

Multiple Choice

Solve for x.

• A

• B

• C

• D

Multiple Choice

Solve for x.

• A

• B

• C

• D

Multiple Choice

Solve for x.

• A

• B

• C

• D

Multiple Choice

Find the measure of the angle indicated in bold.

• A

• B

• C

• D

Multiple Choice

Solve for x.

• A

• B

• C

• D

Multiple Choice

Solve for x.

• A

• B

• C

• D

Multiple Choice

Solve for x.

• A

• B

• C

• D

Multiple Choice

What angle corresponds to angle 6?

• angle 2
• angle 4
• angle 7
• angle 8

Multiple Choice

What angle pair is pictured?

• Alternate Interior Angles
• Supplementary Angles
• Vertical Angles
• Corresponding Angles

Multiple Choice

What is the relationship of the Angles

• Alternate Interior
• Alternate Exterior
• Corresponding
• vertical 

Multiple Choice

What is the Angle Relationship? 

• Alternate Interior
• Alternate Exterior
• Corresponding
• vertical 

Multiple Choice

What is the Angle Relationship?

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical

Multiple Choice

What is the Angle Relationship

• Alternate Interior
• vertical 
• Corresponding
• adjacent 

Multiple Choice

What is the angle relationship?

• adjacent 
• Alternate Exterior
• Corresponding
• vertical 

Multiple Choice

Which is a pair of corresponding angles?

• ∠4 and ∠3
• ∠4 and ∠1
• ∠4 and ∠2
• ∠4 and ∠8

Multiple Choice

Angle 1 = 27^o
Find the measure of angle 4

• 27^o
• 153^o
• 63^o
• 90^o

Multiple Choice

Which pair of angles add up to 180 degrees?

• A and W
• C and X
• D and X
• A and G

Multiple Choice

What is the value of x?

• 27
• 72
• 108
• 153

Multiple Choice

Which two lines are parallel? (hint: find all of the angles around each intersection, then compare)

• Lines M and N
• Lines N and P
• Lines M and P

Multiple Choice

What is the value of x?

• 60
• 26
• 14
• 10

Multiple Choice

Find m∠UVY if m∠TWX = 84°

• 80°
• 84°
• 74°
• 110°

Multiple Choice

Solve for x

• x=29
• x=61
• x=14
• x=20

Multiple Choice

Which pair of angles are alternate exterior angles?

• Angle 7 and Angle 4
• Angle 2 and Angle 6
• Angle 8 and Angle 1
• Angle 2 and Angle 8

Multiple Choice

Solve for x.

• 21
• 4
• 8
• 5

Multiple Choice

If angle 8 is 70 degrees, how many degrees is angle 2?

• 20 degrees
• 70 degrees
• 110 degrees
• 130 degrees

Multiple Choice

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

• vertical lines
• a passer through line
• transversal
• perpendicular line

Multiple Choice

Find the measure of angle 1.

• 28^o
• 136^o
• 44^o
• 6^o

Multiple Choice

WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?

• X=12
• 8X - 17 + 5X +19 = 180
• 8X - 17 = 5X +19
• X= -12

Multiple Choice

WHICH IS THE CORRECT EQUATION TO SOLVE FOR X? 

• 16X+180 = 90
• 12X - 29 = 4X +1

• 12X - 29 + 4X +1=90

• 12X - 29 + 4X +1=180

Multiple Choice

WHAT IS THE CORRECT EQUATION TO USE TO SOLVE FOR X?

• 33 = 7X +5
• -7X=33
• 33+7X+5=180
• 33+7X+5=90

Multiple Choice

Which of the following is a pair of corresponding angles?

• $$\angle SUV\ and\ \angle VUX$$  

• $$\angle SUV\ and\ \ \angle UXY$$  

• $$\angle YXZ\ and\ \angle YXU$$  

Multiple Choice

Vertical angles are ________.

• supplementary

• linear pair

• congruent

Multiple Choice

Identify the given pair of angles.

$$\angle4\ and\ \angle5$$  

• Linear pair

• Corresponding angles

• same-side interior angles

• Alternate interior angles

Multiple Choice

If $$\angle4\ measures\ 70\degree,$$  find $$m\angle6$$  .

• $$70\degree$$  

• $$110\degree$$  

• $$10\degree$$  

• $$180\degree$$  

Multiple Choice

$$\ If\ \angle4\ measures\ \ 70\degree,\ what\ is\ m\angle8?$$  

• $$180\degree$$  

• $$170\degree$$  

• $$70\degree$$  

• $$110\degree$$