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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.
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