3.1 Parallel Lines and Transversals - St. Cloud Area School District

Warm Up
Over Chapter 2
Make a conjecture about the next number in the
sequence, 5, 20, 80, 320.
Take Note
Parallel Lines
Description: Coplanar lines that don’t intersect.
Diagram:
Take Note
Skew Lines
Description: Non coplanar lines that don’t
intersect.
Diagram:
Example: π’π’Šπ’π’† 𝓡 and line m
Take Note
Parallel Planes
Description: planes that don’t intersect.
Diagram:
Example: Plane B and Plane A
Example 1
Identify Parallel and Skew
Relationships
A. Name all segments parallel to BC.
Example 1
Identify Parallel and Skew
Relationships
A. Name all segments parallel to BC.
Answer: AD, EH, FG
Example 1
Identify Parallel and Skew
Relationships
B. Name a segment skew to EH.
Answer:
Example 1
Identify Parallel and Skew
Relationships
B. Name a segment skew to EH.
Answer: AB, CD, BG, or CF
Example 1
Identify Parallel and Skew
Relationships
C. Name a plane parallel to plane ABG.
Answer:
Example 1
Identify Parallel and Skew
Relationships
C. Name a plane parallel to plane ABG.
Answer: plane CDE
You Try
A. Name a plane that is
parallel to plane RST.
B. Name a segment that
intersects YZ.
C. Name a segment that
is parallel to RX.
Take Note
Example 2
Classify Angle Pair Relationships
A. What type of angles are 2 and 6?
B. What type of angles are 1 and 7?
C. What type of angles are 3 and 8?
D. What type of angles are 3 and 5?
Example 2
Classify Angle Pair Relationships
A. What type of angles are 2 and 6?
Answer: corresponding
B. What type of angles are 1 and 7?
Answer: alternate exterior
C. What type of angles are 3 and 8?
Answer: consecutive interior
D. What type of angles are 3 and 5?
Answer: alternate interior
You Try
A. Classify the relationship
between 4 and 5.
B. Classify the relationship
between 7 and 9.
C. Classify the relationship
between 4 and 7.
D. Classify the relationship
between 2 and 11.
Homework
β€’ HW 21: Pg.175 #’s1-3, 5-8, 21-28