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Name
Name
1-5A Lesson Master
Questions on SPUR Objectives
See Student Edition pages 55–57 for objectives.
VOCABULARY
A postulate is an assumption; a theorem is a statement
that follows from postulates, definitions, and other
statements that have been previously proved.
SKILLS Objective C
B BA
C AB
k
B
2. Multiple Choice Which symbol does not name
the line shown?
4. Through any two points there are at least two lines.
B Number Line Assumption
C
B
7. Graphing the line with equation y = 2x by connecting the ordered pairs
(1, 2) and (2, 4).
A
6. Describe a property in discrete geometry that is not true in Euclidean
geometry.
Answers vary. Sample: Two lines can
intersect but have no points in common.
7. Describe a property in graph theory that is not true in Euclidean
geometry.
REPRESENTATIONS Objective L
Answers vary. Sample: Two different lines
can contain the same two points.
In 8–11, find the point of intersection of the given lines, or state that they
are parallel.
(3, 1)
(–1, 2)
9.
{
y = 2x - 5
x=y-2
11.
{
y = __34 x - 1
(7, 9)
parallel
3x - 4y = 8
PROPERTIES Objective E
8. The postulates for which type of geometry fit both synthetic geometry
and coordinate geometry?
Euclidean
Geometry
Geometry
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A Unique Line Assumption
M
B Number Line Assumption
C Dimension Assumption
b. All the points on the line can be put in one-to-one correspondence
with the real numbers with point M corresponding to zero and
point N corresponding to 1.
B
4. The ray with endpoint G containing H
t
5. Points T, A, and B are on a plane. If AT = 7.6, AB = 10, and BT = 2.4,
which point is between the other two?
Q
P
B
R
x
v
line w
b. PS =
16
a. If the Thai restaurant is eight blocks from the grocery store,
which place is between the other two?
REPRESENTATIONS Objective L
Her house is between the grocery store and the
restaurant.
b. If the Thai restaurant is two blocks from the grocery store,
In 12–14, graph the lines and find the point of intersection, or state that
they are parallel.
y = 3x
y=3
14.
y
{
2x + y = 3
4x + 2y = 6
y
x
4
4
᎑4
᎑4
(1, 3)
which place is between the other two?
The grocery store is between her house and the
restaurant.
y
4
parallel
7
S
R
Q
P
8. On Camille’s street, the grocery store is three blocks from her house
and the Thai restaurant is five blocks from her house.
t
᎑4
7. P, Q, R, and S are collinear as shown. If PQ = 3, PR = 10,
and RS = 6, then
USES Objective G
w
4
GH
T
8
6. Point W is between Y and Z. YZ = 12, YW = 4. Find WZ.
a. QR =
u
11. Refer to the diagram at the right. Name all the
lines that appear to be parallel to line u.
᎑4
2. The distance from G to H
3. The segment with endpoints G and H
A
Answers vary. Sample: Point A is
in plane R but not on line t; point
B is in space but not in plane R.
4
−−
GH
⎯⎯
GH
1. The line through G and H
PROPERTIES Objective F
10. In the diagram at the right, line t is on plane R.
Plane R is in space. Draw two other points on or
outside of plane R. Use the Dimension Assumption
to explain where these points are located.
{
⎯
1. GH
In 1−4, write the symbol for each description.
A
13.
Questions on SPUR Objectives
See Student Edition pages 55–57 for objectives.
PROPERTIES Objective C
N
a. There is exactly one line through points M and N.
y=x-1
y=x+3
1-6A Lesson Master
x
4
᎑4
x
REPRESENTATIONS Objective I
In 9 and 10, use the number line at the right.
᎑4
9. Find
parallel (same line)
a. SO.
5
b. SU.
15 c. SD.
–7.5
S
O
U
᎑30
᎑25
᎑15
30
d. OU.
N
D
0
Copyright © Wright Group/McGraw-Hill
9. Multiple Choice Refer to the diagram at the right.
Tell which assumption of the Point-Line-Plane
Postulate permits the procedure described.
{
143
Name
1-5B
12.
A
PROPERTIES Objective D
C Dimension Assumption
6. Measuring the length of a segment by holding a ruler to it.
142
B
⎯
⎯ or BA
AB
5. Locating point P not on plane m.
3x + 4y = 5
9x + 10y = 11
jk
5. Use symbols to name the line at the right.
PROPERTIES Objective E
10.
a statement which follows from definitions,
postulates, or previously proved theorems
4. Use symbols to write “line j is parallel to line k.”
In 5–7, tell which assumption of the Point-Line-Plane Postulate permits the
procedure described.
2x - 5y = 1
6x + y = 19
2. What is a theorem?
SKILLS Objective C
true
false
3. Two different lines cannot intersect in two different points.
{
{
an assumption
coplanar lines that have no points in
common or that are identical
D k
PROPERTIES Objective D
A Unique Line Assumption
1. What is a postulate?
3. Define parallel lines.
A
In 3 and 4, true or false.
8.
Questions on SPUR Objectives
See Student Edition pages 55–57 for objectives.
VOCABULARY
1. What is the difference between a postulate and a theorem?
A AB
1-5B Lesson Master
10
10. If UN = ND, what is the coordinate of N?
144
Geometry
Geometry
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Geometry
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