Parallel Lines Cut by a Transversal

Parallel Lines Cut by a Transversal

Please work through this lesson, answering the questions throughout.

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

Write a definition for a transversal in your notes.

Multiple Choice

What is the relationship of the Angles

• Alternate Interior
• Alternate Exterior
• Corresponding
• vertical 

Angle Relationships

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

Alternate interior angles

These angles are between the lines intersected by the transversal and are on opposite sides of the transversal.


Write a pair of alternate interior angles for the example on your notes.

Multiple Choice

Name the alternate interior angle to angle 3.

• 4
• 5
• 6
• 8

Alternate Exterior angles

These angles are outside the lines intersected by the transversal and are on opposite sides of the transversal.

Write a pair of alternate exterior angles for the example on your notes.

Multiple Choice

Name the alternate exterior angle to angle 2.

• 1

• 8

• 7

• 4

Same side interior angles

These angles are between the lines intersected by the transversal, but are on the same side of the transversal.

Write a pair of same side interior angles for the example on your notes.

Multiple Choice

What angle is the same side interior angle to angle 4?

• angle 3

• angle 5

• angle 6

• angle 8

Corresponding angles

These angles are located at the same position of each intersection, or the same "corner"

Write a pair of corresponding angles for the example on your notes.

Multiple Choice

Name the corresponding angle to angle 4.

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

Multiple Choice

Which of the following is an example of corresponding angles?

• $$\angle8\ and\ \angle4$$  

• $$\angle5\ and\ \angle7$$  

• $$\angle1\ and\ \angle7$$  

• $$\angle3\ and\ \angle5$$  

Multiple Choice

Which of the angle pairs below are a linear pair?  

• $$\angle7\$$  and  $$\angle5$$  

• $$\angle3\$$  and  $$\angle6$$  

• $$\angle4$$  and  $$\angle8$$  

• $$\angle2$$  and  $$\angle3$$  

Multiple Choice

If angle 1 is 135 degrees, how many degrees is angle 3?

• 45 degrees
• 65 degrees
• 135 degrees
• 225 degrees

Multiple Choice

If angle 6 is 25 degrees, how many degrees is angle 7?

• 25 degrees
• 50 degrees
• 90 degrees
• 155 degrees

Multiple Choice

$$\angle3\$$  and  $$\angle2$$   are ___.  

• Alternate Interior Angles

• Alternate Exterior Angles

• Same-side Interior Angles

• Corresponding Angles

• None of these

Multiple Choice

What is the relationship of the Angles

• Alternate Interior
• Alternate Exterior
• Corresponding
• vertical 

Multiple Choice

Find the complementary angle.

• 47
• 37
• 57
• 137

Multiple Choice

What angle pair is pictured?

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

Multiple Choice

What type of angle pair are ∠1 and ∠3?

• alternate interior angles
•  supplementary angles
• corresponding angles
• vertical angles 

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Open Ended

What do you notice about the angle measures of alternate interior angles if the lines intersected by a transversal are parallel?

What if those lines are not parallel?

Special Properties

All of these angle relationships have special properties (congruent, supplementary, etc) if the lines intersected by the transversal are parallel, which we will discuss when we have class next.

Thanks for following along today!