1. Table of Contents
Date: Topic: Description: Page:

2. 3.1 : Parallel Lines and Transversals
Students will be able to identify the relationships between two lines and two planes.
Students will be able to name angle pairs formed by parallel lines and transversals.

3. Vocabulary Denoted by: Arrows are used to indicate parallel lines
Definition
Picture
Parallel Lines
 Parallel lines are coplanar lines that
Denoted by: Arrows are used to indicate parallel lines
Skew Lines
 Skew lines are lines that
Parallel Planes
 Parallel planes are planes that

4. Example 1: Use the figure to the right.
Name all segments parallel to BC .
b) Name a segment skew to EH.
c) Name a plane parallel to plane ABG.

5. Vocabulary Vocabulary Definition Picture Transversal
Transversal
 A line that ____________ two or more lines at two different points.
Interior Angles
Exterior Angles

6. Vocabulary Vocabulary Definition Picture Consecutive Interior Angles
Consecutive Interior Angles
Alternate interior Angles
Alternate Exterior Angles  

7. Vocabulary
Vocabulary
Definition
Picture
Corresponding Angles

8. a) ∠2 and ∠ 6 b) ∠ 1 and ∠ 7 c) ∠ 3 and ∠ 8 d) ∠ 3 and ∠ 5
Example 2: Classify the relationship between the given angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
a) ∠2 and ∠ 6 b) ∠ 1 and ∠ 7
c) ∠ 3 and ∠ 8 d) ∠ 3 and ∠ 5

9. a) ∠4 and ∠ 5 b) ∠ 7 and ∠ 9 c) ∠ 4 and ∠ 7 d) ∠ 2 and ∠ 11
Example 3: Classify the relationship between the given angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
a) ∠4 and ∠ 5 b) ∠ 7 and ∠ 9
c) ∠ 4 and ∠ 7 d) ∠ 2 and ∠ 11

10. a) ∠1 and ∠ 2 b) ∠ 2 and ∠ 3 c) ∠ 4 and ∠ 5
Example 4: The driveways at a bus station are shown. Identify the transversal connecting the given angles. Then classify the relationship between the pair of angles.
a) ∠1 and ∠ 2 b) ∠ 2 and ∠ 3
c) ∠ 4 and ∠ 5

11. SUMMARY
Refer to the above figure and identify the special angle pair name. 1) 3 and 13 ____________________________________________________ 2) 8 and 10 ____________________________________________________ 3) 11 and 15 ___________________________________________________ 4) 8 and 6 _____________________________________________________ 5) 1 and 6 _____________________________________________________ 6) 6 and 10 ____________________________________________________ 7) 14 and 15 ___________________________________________________

12. SUMMARY 8) m1 = 3x - 17 m2 = x + 1 x = ________ 9) m3 = 20k + 11
9) m3 = 20k + 11
m4 = 8k + 1
k = ________
m1 = 95 + 7h m2 = 55 - h
h = ________
11) m3 = 5k + 12
m4 = 7k - 16
k = _________
12) m1 = 7y m2 = 2x
m3 = 4x – 30
x = ______
y = ______ 1 2 3 4 1 2 3 4 1 3 2

13. SUMMARY 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Refer to the above figure and identify the special angle pair name.
13) 7 and 2 ______________________________________________________
14) 6 and 14 _____________________________________________________
15) 13 and 12 ____________________________________________________
16) 7 and 11 _____________________________________________________
17) 4 and 8 ______________________________________________________ 1 2 3 4