# Parallel Lines and Transversals - PowerPoint PPT Presentation

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## Parallel Lines and Transversals

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### Parallel Lines and Transversals Section 3-1 2 lines that do not intersect are either parallel or skew. Parallel lines ( lines) do not intersect and are coplanar. – PowerPoint PPT presentation

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Title: Parallel Lines and Transversals

1
Parallel Lines and Transversals
• Section 3-1

2
• 2 lines that do not intersect are either parallel
or skew.
• Parallel lines ( lines) do not intersect and
are coplanar.
• Skew lines do not intersect and are not coplanar.

3
• Parallel planes ( planes) do not intersect.
• Plane X is parallel to plane Y
• A line and a plane are parallel if they do not
intersect.

G
H
X
plane Y
E
F
D
C
Y
A
B
4
• A transversal is a line that intersects 2 or more
coplanar lines in different points.

transversal
exterior
1
2
3
4
interior
6
5
7
8
exterior
5
• Alternate interior angles are 2 nonadjacent
interior angles on opposite sides of the
transversal.

1
2
3
4
6
5
7
8
6
• Consecutive interior angles are 2 interior angles
on the same side of the transversal.

1
2
3
4
6
5
7
8
7
• Alternate exterior angles are 2 nonadjacent
exterior angles on opposite sides of the
transversal.

1
2
3
4
6
5
7
8
8
• Consecutive exterior angles are 2 exterior angles
on the same side of the transversal.

1
2
3
4
6
5
7
8
9
• Corresponding angles are 2 angles in
corresponding positions relative to the 2 lines.

1
2
3
4
6
5
7
8
10
Joke Time
• What did E.T.s Mom say when he got home?
• Where on Earth have you been?

11
• What happened when the pig pen broke?
• The pigs had to use a pencil.