Parallel And Perpendicular Lines Worksheet Page 3
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50Parallel Lines and
Transversals
•
Identify the relationships between two lines
or two planes.
•
m
Name angles formed by a pair of lines and a
Vocabulary
transversal.
•
parallel lines
are parallel lines and planes
are parallel lines and planes
•
parallel planes
used in architecture?
used in architecture?
•
skew lines
•
transversal
Architect Frank Lloyd Wright designed
•
consecutive interior
many buildings using basic shapes, lines,
angles
and planes. His building at the right has
•
alternate exterior angles
several examples of parallel lines, parallel
•
alternate interior angles
planes, and skew lines.
•
corresponding angles
RELATIONSHIPS BETWEEN LINES AND PLANES
Lines and m are
coplanar because they lie in the same plane. If the lines were extended indefinitely,
they would not intersect. Coplanar lines that do not intersect are called
.
parallel lines
Segments and rays contained within parallel lines are also parallel.
The symbol means is parallel to. Arrows are
P
Q
used in diagrams to indicate that lines are parallel.
In the figure, the arrows indicate that PQ is
parallel to RS.
R
S
Similarly, two planes can intersect or be parallel.
PQ
RS
In the photograph above, the roofs of each level
are contained in
parallel planes
. The walls and
The symbol
means is not parallel to.
the floor of each level lie in intersecting planes.
Draw a Rectangular Prism
A rectangular prism can be drawn using parallel lines and parallel planes.
Step 1 Draw two parallel planes
Step 2 Draw the edges. Make
Step 3 Label the vertices.
to represent the top and
any hidden edges of the
bottom of the prism.
prism dashed.
D
A
B
C
H
E
G
F
Analyze
1. Identify the parallel planes in the figure.
2. Name the planes that intersect plane ABC and name their intersections.
3. Identify all segments parallel to BF.
126 Chapter 3 Parallel and Perpendicular Lines
Robert Holmes/CORBIS
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