Parallel Lines, Transversals, & Their Angles

​Dr. Tom Giles

​Parallel Lines, Transversals, & their Angles

Parallel Lines and Transversals

by Scott Jennings

​Parallel lines

​lines that lie in the same plane and do not intersect

​Straight

​intersect

​Arrows

​Transversal

​a line that intersects 2 or more lines

​

​

​Line a intersects both lines l and m, therefore it is the transversal

​Straight

​intersect

​Arrows

​If 2 parallel Lines are cut by a transversal, then...

• ​alternate interior angles are congruent

• ​alternate exterior angles are congruent

• ​corresponding angles are congruent

• ​same-side (consecutive) interior angles are supplementary

​If 2 parallel Lines are cut by a transversal, then...

​Alternate interior angles are congruent

Multiple Choice

What angle is vertical to $$\angle1$$ ?

• $$\angle7$$

• $$\angle4$$

• $$\angle6$$

• $$\angle2$$

​If 2 parallel Lines are cut by a transversal, then...

Alternate exterior angles are congruent

Multiple Choice

Which of the following is NOT an example of supplementary angles?

• $$\angle7\ and\ \angle8$$  

• $$\angle2\ and\ \angle3$$  

• $$\angle1\ and\ \angle7$$  

• $$\angle6\ and\ \angle4$$  

​If 2 parallel Lines are cut by a transversal, then...

Corresponding angles are congruent

Multiple Choice

Find the missing angle.

• 47
• 37
• 57
• 137

​If 2 parallel Lines are cut by a transversal, then...

Same-side (consecutive) interior angles are supplementary

Multiple Choice

What is the measure of the missing angle?

• 76
• 66
• 156
• 154

Multiple Choice

What type of angle pair is ∠1 and ∠5?

• alternate interior angles
• corresponding angles
• alternate exterior angles
• vertical angels. 

Multiple Choice

What angle is vertical to $$\angle5$$ ?

• $$\angle3$$

• $$\angle1$$

• $$\angle6$$

• $$\angle2$$

Multiple Choice

What type of angle pair is ∠1 and ∠3?

• alternate interior angles

• linear pair

• corresponding angles

• vertical angles

Multiple Choice

In the diagram, which of the following statements are false?

• ∠1 and ∠4 are vertical angles
• ∠4 and ∠5 are alternate interior angles
• ∠1 and ∠8 are alternate interior angles
• ∠2 and ∠6 are corresponding angles

​ 1 & 5 2 & 6

3 & 7 4 & 8​

4 & 6

3 & 5

1 & 7

2 & 8

3 & 6

4 & 5

Multiple Choice

Name the corresponding angle to angle 4.

• angle 8
• angle 6
• angle 2
• angle 5

Multiple Choice

What angle corresponds to  $$\angle3$$  ?

• $$\angle4$$  

• $$\angle5$$  

• $$\angle8$$  

• $$\angle7$$  

Multiple Choice

Name the alternate interior angle to angle 3.

• 4
• 5
• 6
• 8

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
•  Correpsonding
• Vertical Angles

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Multiple Choice

Name the angle relationship.

• Consecutive Interior
• Alternate Interior
• Corresponding
• Vertical Angles

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Multiple Choice

What is the relationship of the angles?

• Corresponding angles

• Consecutive interior angles

• Alternate interior angles

• alternate exterior angles

Multiple Choice

A line that passes through 2 or more lines is called a ______________.

• transitive
• passer through line
• transversal
• bisector

Multiple Choice

Which of the following terms best describes the relationship between $$\angle w\$$  and $$\angle x$$  ?

• Corresponding angles

• Same-side interior angles

• Alternate interior angles

• Same-side exterior angles

Multiple Choice

Which of the following is NOT true?

• a = 140

• b = 140

• c = 140

• d = 140

Multiple Choice

What is the relationship of the angles?

• Corresponding angles
• Consecutive Interior

• Alternate Interior
• Alternate Exterior

Multiple Choice

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

• 27^o
• 153^o
• 63^o
• 90^o

Multiple Choice

What angle corresponds to $$\angle5$$ ?

• $$\angle7$$

• $$\angle5$$

• $$\angle3$$

• $$\angle2$$

Multiple Choice

What is the value of y?

• 29
• 119
• 58

Multiple Choice

Solve for  y.

• y = 20
• y = 120
• y = 60
• y = 10

Multiple Choice

If $$\angle1\ =\ 27\degree$$   , find the measure of $$\angle4$$  .

• $$27\degree$$   

• $$153\degree$$

• $$63\degree$$  

• $$90\degree$$  

Multiple Choice

Which of these angles is NOT congruent to angle 5?

• Angle 6
• Angle 8
• Angle 1
• Angle 4

Multiple Choice

Find C 

• ∠C=116°
• ∠C=64°
• ∠C=180°
• ∠C=26°

Multiple Choice

If angle P measures 60 degrees, what is the measure of angle C?

• 60 degrees
• 30 degrees
• 120 degrees

Multiple Choice

If angle 2 is 70 degrees, what is the measure of angle 1?

• 70 degrees

• 20 degrees

• 110 degrees

• 180 degrees