Parallel Lines Cut by a Transversal

Parallel Lines Cut by a Transversal

Please work through this lesson, answering the questions throughout. This will not be graded on accuracy.

Open Ended

Write your own definition for 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

Same side interior angles

Corresponding angles

Multiple Choice

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

• angle 3

• angle 5

• angle 6

• angle 8

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

Name the alternate interior angle to angle 3.

• 4
• 5
• 6
• 8

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Multiple Choice

What is the relationship of the Angles

• Alternate Interior
• Alternate Exterior
• Corresponding
• vertical 

Multiple Choice

Find the missing angle.

• 47
• 37
• 57
• 137

Multiple Choice

What type of angle pair is ∠1 and ∠3?

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

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 corresponding angle to angle 4.

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

Multiple Choice

What angle pair is pictured?

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

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!

Match

Match the following opposite reciprocal

• -2/3

• 5/4

• 15/4

• -7/5

3/2

-4/5

-4/15

5/7

• 3/2

• -4/5

• -4/15

• 5/7