Parallel And Perpendicular Lines Worksheet Page 4
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50Notice that in the Geometry Activity, AE and GF do not intersect. These segments
are not parallel since they do not lie in the same plane. Lines that do not intersect
and are not coplanar are called
skew lines
. Segments and rays contained in skew
lines are also skew.
Identify Relationships
Example
Example
1
1
G
a. Name all planes that are parallel to
F
plane ABG.
B
plane CDE
A
H
Study Tip
b. Name all segments that intersect CH.
E
BC, CD, CE, EH, and GH
Identifying
C
Segments
D
c. Name all segments that are parallel to EF.
Use the segments drawn
AD, BC, and GH
in the figure even though
other segments exist.
d. Name all segments that are skew to BG.
AD, CD, CE, EF, and EH
ANGLE RELATIONSHIPS
t
In the
transversal
drawing of the railroad crossing, notice
t
that the tracks, represented by line
,
m
intersect the sides of the road,
m
n
represented by lines
and
. A line
that intersects two or more lines in
Study Tip
a plane at different points is called a
n
Transversals
transversal
.
The lines that the
transversal intersects
need not be parallel.
Identify Transversals
Example
Example
2
2
AIRPORTS
Some of the runways at O’Hare International Airport are shown
below. Identify the sets of lines to which each given line is a transversal.
q
a. line
q
If the lines are extended, line
n
p
n
p
r
intersects lines ,
,
, and
.
m
b. line
m
n
p
r
lines ,
,
, and
n
c. line
Control Tower
q
lines ,
m
,
p
, and
q
r
d. line
m
p
q
lines ,
,
, and
r
t
In the drawing of the railroad crossing above, notice that line
forms eight angles
m
n
with lines
and
. These angles are given special names, as are specific pairings of
these angles.
Lesson 3-1 Parallel Lines and Transversals 127
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