Table of Contents Date: Topic: Description: Page:

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.

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

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.

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

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

Vocabulary Vocabulary Definition Picture   Corresponding Angles

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  

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  

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  

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 ___________________________________________________

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 + 16 m2 = 2x m3 = 4x – 30 x = ______ y = ______ 1 2 3 4 1 2 3 4 1 3 2

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