3'1 Parallel Lines and Transversals 102408

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3.1 Parallel Lines and Transversals10/24/08

• Relationships between lines and planes
• Parallel lines coplanar lines that do not
  intersect.
• Segments and rays within parallel lines are also
  parallel.
• The symbol II means parallel.
• Arrows on the lines indicate parallel.
• Parallel planes two planes that do not
  intersect.
• Skew lines lines that do not intersect and are
  not coplanar.

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Identify Relationships
G
F

• Name all planes that are parallel to plane ABG.
• Name all segments that intersect CH.
• Name all segments that are parallel to EF.
• Name all segments thatare skew to BG.

B
A
E
H
D
C
3
Identify Relationships
G
F

• plane CDE

B
A
E
H
D
C
4
Transversals

• A line that intersects two or more lines in a
  plane at different points is called a
  transversal.

t
m
n
5
Transversals and Angles
p
2
1
3
4
q
6
5
r
7
8
6

• Exterior Angles
• Interior Angles
• Consecutive Interior Angles
• Alternate Exterior Angles
• Alternate Interior Angles
• Corresponding Angles

7
Identify Angle Relationships
l
2
1
3
4
a
6
5
b
7
8
10
9
c
11
12
8

• Refer to the figure. Identify each pair of
  angles as alternate interior, alternate exterior,
  corresponding, or consecutive interior angles.
• a. b.
• c. d.
• e. f.

Corresponding
Alternate Exterior
Consecutive Interior
Corresponding
Alternate Interior
Alternate Exterior
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Homework

• RTL 3.1
• S.G. 3.1