Parallel And Perpendicular Lines Worksheet Page 3

Parallel 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