Unit 1B – Transversals and Parallel Lines (Notes)

Name Date

I can… / Essential Question(s):
Key Concepts / Notes
Transversal
  • Definition
  • What does one look like? Be sure to label all lines.
Teaching Points
  1. How many angles did we just create by drawing a transversal?
  1. Just like how we learned about vertical angles, adjacent angles, and linear pairs in the previous section, a transversal creates 4 more angle relationships. They are …

Key Angle Relationships
Start by drawing two lines and a transversal. Label the lines a and b, respectively, and name the transversal c.
Consecutive Interior angles
  • Nickname
  • Angles
Alternate Exterior angles
  • Nickname
  • Angles
Alternate Interior angles
  • Nickname
  • Angles
Corresponding angles
  • Nickname
  • Angles

Identifying Angle Relationships Examples
Example 1
Directions: Refer to the
figures at right. Identify
each pair of angles below
as alternate interior,
alternate exterior,
corresponding, or
consecutive interior.
  1. 3 and 6
  1. 1 and 7
  1. 3 and 5
  1. 4 and 8
  1. 2 and 8
  1. 2 and 6
Example 2
  1. 1 and 7
  1. 2 and 10
  1. 8 and 9
  1. 4 and 10
  1. 3 and 5
  1. 1 and 9
Example 3
  1. 3 and 10
  1. 2 and 12
  1. 8 and 14
  1. 2 and 6
  1. 4 and 9
  1. 5 and 15

Parallel Lines
  • Definition
  • What do they look like?
  • How do I show this in my picture?
  • Symbol
  • How do I express this?
Activity: How to Draw Parallel Lines
  1. Begin by drawing and point C, so that C is NOT on the line.
  1. Draw a line through C and across at an angle, creating point D.
  1. With the compass about half DC, and the point on D, draw an arc across both lines.
  1. Using the same compass width, repeat this at point C.
  1. Set the compass width to the lower arc.
  1. Move the compass to the upper arc. Mark off an arc to make point E.
  1. Draw a straight line through C and E.
Therefore, my result is…..
Summary, Reflection, Analysis…

Unit 1B – Transversals and Parallel Lines Exercises

Name Date

Directions:Using the pictures below, identify each pair of angles as alternate interior, alternate exterior, corresponding, consecutive interior, vertical, or linear pairs.

  1. 2and 8
  1. 3and 6

  1. 1 and9
  1. 6 and8
  1. 3 and9
  1. 6 and12
  1. 7 and11
  1. 9 and10
  1. 1 and5

  1. 6 and14
  1. 2 and8
  1. 1 and3
  1. 3 and11
  1. 12 and3
  1. 4 and6
  1. 12 and11
  1. 6 and16
  1. 11 and14
  1. 10 and16
  1. 14 and16
  1. 2 and12
  1. 6 and18
  1. 13 and19
  1. 11 and7

Unit 1B – Transversals and Parallel Lines (Construction)

Name Date

Activity:Constructing Parallel Lines

Directions:Using only a compass and a protractor, construct .

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