Download Geometry 3-1 Parallel Lines and Transversals

Geometry 3-1 Parallel Lines and Transversals
A line that intersects two or more coplanar lines at two
different points is called a transversal . In the diagram, line
p is a transversal.
Angles 1, 2, 7, and 8 are interior angles.
q
Angles 3, 4, 5, and 6 are exterior angles.
4
3
Coplanar lines that do not intersect are called parallel lines.
Noncoplanar lines that do not intersect are called skew
lines. Planes that do not intersect are parallel planes.
H
Q
Identify two pairs of parallel segments.
HQ and PE; PR and EG
P
Identify two pairs of skew segments.
FR and PE; EG and HP
F
R
S
G
Identify the transversal for each pair of angles, and classify
the relationship between the angles.
4 13
2 and 3
n
12 7
1 5
Transversal q;
14 11
m
alternate interior
92
8 16
p
6 10
3 15
q
1 2
E
5 and 10
Transversal n;
corresponding
8 7
6 5
p
Angles 1,7 are alternate interior angles.
r Angles 3,5 are alternate exterior angles.
Angles 2,7 are consecutive interior angles.
Angles 3,6 are consecutive exterior angles.
Angles 3,8 are corresponding angles.