Download the network has more than two odd nodes. a set of points the set of

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Name
1-3B
page 2
USES Objective H
1-4A Lesson Master
Questions on SPUR Objectives
See Student Edition pages 55–57 for objectives.
VOCABULARY
10. The diagram at the right shows the floor plan of a drug store.
The heavy lines are the aisles.
In 1 and 2, give the definition of the term.
1. figure
a. Model the aisles as a network of nodes and arcs.
Answers vary. Sample:
a set of points
the set of all points
2. space
PROPERTIES Objective E
point, line, plane
3. Which three geometric terms are undefined in this course?
4. Explain why the following definitions are circular:
A ball is a spherical object used as a toy or in games.
A sphere is a three-dimensional round object, like a ball.
b. Would a customer be able to walk down each aisle exactly
one time? Justify your answer.
No; the network has more than two odd nodes.
11. Refer to the diagram of World Wonders Amusement Park
at the right. The stream through the amusement park is
crossed by 5 bridges.
a. Represent the bridges and land masses as a network
of nodes and arcs.
Answers vary. Sample:
“Ball” refers to “sphere” and “sphere”
refers to “ball.”
Animal Kingdoms
USES Objective H
Technology
Travels
Dinosaur
Days
In 5–9, use the box at the right.
Answers vary. Sample: C, H, and B
A
6. Name four points that are coplanar but are NOT collinear.
G
7. Are the points D, C, K, and F coplanar?
No; the network has more than two odd nodes.
9. the top of the box
10. a sheet of paper
Technology
Travels
11. an airplane
12. a string when stretched tight
Space
Stations
13. a movie screen
138
E
2-dimensional
In 10–13, ignoring small thicknesses, how many dimensions does each
object have?
Animal Kingdoms
Dinosaur
Days
2
3
1
2
Geometry
Geometry
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Questions on SPUR Objectives
1-4B
page 2
See Student Edition pages 55–57 for objectives.
USES Objective H
VOCABULARY
In 6–13, give the number of dimensions of the figure or object. Ignore
small thicknesses.
In 1–3, give the definition of the term.
1. collinear points
6. a number line
Points are collinear if there is a line that
contains all of them.
8. a point (as a location)
10. a toothpick
2. a plane figure
A plane figure is a set of points that are all
in one plane.
3. a 3-dimensional figure
12. a TV set
15. A, B, C, E
16. B, C, F, G
17. A, B, H, J
PROPERTIES Objective E
Copyright © Wright Group/McGraw-Hill
18. C, F, K
4. a. Explain circularity.
1
0
1
3
7. a cube
9. a cardboard box
11. a desk top
13. the point of a needle
In 14–21, refer to the box at the right. Identify the sets
of points as collinear, coplanar, or 3-dimensional.
14. B, C, H
A 3-dimensional figure is a set of points
that are not all in the same plane.
collinear
3-dimensional
3-dimensional
coplanar
collinear
collinear
J
G
K
19. B, C, E, G
E
coplanar
coplanar
b. Show how defining the word decay might lead to circularity.
22. Explain why a traversable network can have no more than 2 odd nodes.
21. A, C, G, K
REVIEW Lesson 1–3, Objective D
Answers vary. Sample: Any odd node must be the
beginning or ending of a path that traverses the network.
23. Explain why two discrete lines may cross but have no common point.
Draw an instance of two discrete lines that cross but do not intersect.
5. Name three undefined algebraic terms or phrases used in your textbook.
Answers vary. Sample: equation; number; is less than
Answers vary. Sample: Discrete lines have
spaces between their points.
Geometry
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C
D
F
20. A, K
Answers vary. Sample: using “rot” to
define “decay,” “decompose” to define
“rot,” and “decay” to define “decompose”
3
3
2
0
H
B
A
Circularity is returning to a previously
defined word when trying to define a term.
Geometry
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Geometry
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Name
1-4B Lesson Master
140
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yes
3-dimensional
Answers vary. Sample:
D
In 8 and 9, determine whether the item described is 1-, 2-, or
3-dimensional.
8. the box itself
c. Suppose another bridge is to be built. Is it possible to build the
sixth bridge so that the network is traversable? If so, draw it in the
diagram of the amusement park.
C
J
F
Answers vary. Sample: A, B, C, D
b. Is the network traversable? Justify your answer.
H
B
5. Name three collinear points.
Space
Stations
A3
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2:38:41 PM