Name
LESSON
Date
Class
Practice C
2-6 The Coordinate Plane
Use the coordinate plane for Exercises 1–8.
Name the quadrant where each point is located and give the
coordinates for each point.
1. Y
2. D
y
D
3. Z
4
4. X
A
B
2
Z
x
5. C
6. B
2
4
X
7. A
8. Q
2
2
Q
To rotate a point 180° about the origin, you
graph the opposite of each coordinate. Write
the ordered pair for the rotated point and then
graph it.
9. P (1, 3)
O
4
Y
C
4
y
4
2
10. U (2, 4)
x
4
11. V (0, 1)
12. T (3, 2)
2
O
2
4
2
4
13. What patterns can you find between
the coordinates of any point located
in Quadrant I and the coordinates of
any point located in Quadrant III?
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14. On a city grid, the post office is
located at (3, 2) and the fire station
is located at (2, 3). Which building
is located the farthest west? the
farthest south?
51
Holt Mathematics
Practice B
2-6 The Coordinate Plane
Practice A
2-6 The Coordinate Plane
LESSON
LESSON
Use the coordinate plane for Exercises 1 and 2.
Circle the letter of the correct answer.
1. Which point is located in Quadrant I?
A point Q
B point P
C point X
D point Y
Use the coordinate plane for Exercises 1–12.
Name the quadrant where each point is located.
y
4
x
O
2
Q (3, 2)
2
2. P
II
III
4. B
IV
5. C
I
6. X
I
2
P
D
(2, 1)
8. A
(3, 2)
9. P
(1, 3)
10. Q
(4, 1)
11. Y
(2, 2)
12. D
(2, 2)
2
x
C
4
A
B
students’ graphs.
13. X (3, 1)
14. T (2, 2)
15. C (1, 2)
16. U (0, 3)
4
17. P (2, 0)
18. A (4, 1)
2
y
X
x
P
A
4
A
O
2
2
2
T
4
C
U
4
19. Does every point lie in a quadrant? Explain.
6. What is the difference between the
x-axis and the y-axis?
(0, 0)
2
4
4
5. If a point is located at the origin, what
are that point’s coordinates?
x
2
4
D
2
O
2
Y
Graph each point on the coordinate plane at right. Check
B
2
C
2
Q
4
7. X
P (1, 2)
O
4
X
y
2
y
Give the coordinates of each point.
4
4
4. What are the coordinates of point D?
F (1, 1)
G (1, 1)
H (1, 1)
J (1, 1)
II
3. Y
4
4
Use the coordinate plane for Exercises 3 and 4.
Circle the letter of the correct answer.
3. What are the coordinates of point A?
A (1, 3)
B (3, 1)
C (3, 1)
D (1, 3)
1. D
2
Y (2, 1)
4
2. Which point is located in Quadrant IV?
F point X
G point Y
H point Q
J point P
X (2, 3)
No, if a point is on either axis it does
The x-axis runs horizontally;
not lie in a quadrant.
the y-axis runs vertically.
20. When a point lies on the x-axis, what do you know about its
y-coordinate? When a point lies on the y-axis, what do you
know about its x-coordinate?
Its y-coordinate is 0; its x-coordinate
is 0.
49
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Practice C
2-6 The Coordinate Plane
LESSON
Name the quadrant where each point is located and give the
coordinates for each point.
An ordered pair tells the location of a point. The
x-coordinate tells you how far to move right or
left. The y-coordinate tells you how far to move
up or down.
y
II; (1, 3)
D
4
4. X
I; (1, 2)
5. C
III; (3, 2)
6. B
IV; (1, 3)
7. A
A
X
8. Q
II; (2, 1)
2
4
Q
III; (2, 3)
11. V (0, 1)
(2, 4)
12. T (3, 2)
(0, 1)
(3, 2)
2
3. F
2
5. P
2
x
D
4
2 O
2
I; (5, 5)
4
6. W
IV; (4, 5)
4
y-axis; (0, 4)
4
F
W
P
y
Graph each point on the coordinate plane.
B
6
4
8. R (8, 5)
2
9. V (3, 4)
x
6
10. Z (0, 6)
4
2
O
coordinates are always negative.
Holt Mathematics
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
95
2
4
6
2
V
4
6
Copyright © by Holt, Rinehart and Winston.
2
Q
U'
the fire station; the post office
51
T
4
4. T
positive; in Quadrant III, both
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
A
y
7. B (1, 6)
both coordinates are always
(5, 4)
4
y-coordinate
III; (3, 6)
x-axis; (6, 0)
T'
V'
14. On a city grid, the post office is
located at (3, 2) and the fire station
is located at (2, 3). Which building
is located the farthest west? the
farthest south?
Possible answer; In Quadrant I,
4
IV
2
P'
4
13. What patterns can you find between
the coordinates of any point located
in Quadrant I and the coordinates of
any point located in Quadrant III?
2
2. Q
II; (4, 1)
x
4
IIl
Name the quadrant on axis where each point is
located. Then give the coordinates of each point.
4
O
O
Y
C
4
2
2
4
y
10. U (2, 4)
(1, 3)
2
1. D
To rotate a point 180° about the origin, you
graph the opposite of each coordinate. Write
the ordered pair for the rotated point and then
graph it. Check students’ graphs.
9. P (1, 3)
O
x
4
The coordinates of point A are (5, 4) because
it is 5 units to the right of the origin and 4 units
down. It is located in quadrant IV.
Z
2
I
2
2 x-coordinate
B
2
x
I; (4, 2)
4
II
2. D
3. Z
y
The coordinate plane is divided into four
quadrants. They are numbered I, II, III, and IV.
Use the coordinate plane for Exercises 1–8.
IV; (3, 2)
Holt Mathematics
Review for Mastery
2-6 The Coordinate Plane
LESSON
1. Y
50
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All rights reserved.
52
Z
R
Holt Mathematics
Holt Mathematics