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Name
LESSON
Here
Date
Class
Practice B
9-3 The Coordinate Plane
Use the coordinate plane to answer questions 1–12.
Name the quadrant where each point is located.
1. D
2. P
3. Y
4. B
5. C
6. X
y
P
D
Q
4
C
2
x
X
Give the coordinates of each point.
7. X
8. A
9. P
10. Q
11. Y
12. D
!4
!2
Y
O
2
!2
!4
4
A
B
Graph each point on the coordinate plane at right.
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
!4
!2
O
2
4
!2
!4
19. Does every point lie in a quadrant? Explain.
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?
Copyright © by Holt, Rinehart and Winston.
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28
Holt Middle School Math Course 1
Practice C
9-3 The Coordinate Plane
Practice B
9-3 The Coordinate Plane
LESSON
LESSON
Use the coordinate plane to answer questions 1–8.
Use the coordinate plane to answer questions 1–12.
Name the quadrant where each point is located and give the
coordinates for each point.
Name the quadrant where each point is located.
1. D
II
2. P
II
3. Y
III
4. B
IV
I
5. C
6. X
y
I
1. Y
4
P
D
2
Q
Give the coordinates of each point.
7. X
(2, 1)
8. A
(3, !2)
9. P
(!1, 3)
10. Q
(!4, 1)
11. Y
(!2, !2)
12. D
O
!2
2
Y
III; (!3, !2)
5. C
!2
A
Graph each point on the coordinate plane at right. Check
14. T (!2, !2)
15. C (1, !2)
16. U (0, !3)
4
17. P (2, 0)
18. A (!4, !1)
2
y
III; (!2, !3)
9. P (1, 3)
x
!4
A
O
!2
2
!2
T
y
2
!4
O
!2
12. T (!3, !2)
(0, 1)
Y
4
(2, !4)
11. V (0, !1)
4
4
C
!4
10. U (!2, 4)
(!1, !3)
X
P
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. Check students’ graphs.
students’ graphs.
13. X (3, 1)
O
!2
X
8. Q
II; (!2, 1)
(!2, 2)
B
Z
x
!4
I; (4, 2)
7. A
4
2
A
6. B
IV; (1, !3)
B
!4
D
4. X
I; (1, 2)
4
y
II; (!1, 3)
3. Z
x
X
!4
2. D
IV; (3, !2)
C
T'
V'
x
2
4
!2
P'
(3, 2)
C
!4
U'
U
!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?
19. Does every point lie in a quadrant? Explain.
No, if a point is on either axis it does
not lie in a quadrant.
Possible answer; In Quadrant I,
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?
the fire station; the post office
both coordinates are always
positive; in Quadrant III, both
Its y-coordinate is 0; its x-coordinate
coordinates are always negative.
is 0.
28
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
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?
Holt Middle School Math Course 1
29
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Reteach
9-3 The Coordinate Plane
Holt Middle School Math Course 1
Challenge
9-3 Plot and See
LESSON
LESSON
y
The coordinate plane is divided into four
quadrants. They are numbered I, II, III, and IV.
4
II
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.
Graph each point below in the order given. Connect the points
as you graph them to see a creature that lives most of its life
50 feet below sea level, or !50 feet.
I
2
x
!4
O
!2
2
4
IV
!2 x-coordinate
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.
IIl
(5, !4)
!4
START: (0, 20), (1, 19), (3, 18), (5, 15), (6, 15), (6, 12), (10, 8),
(12, 8), (11, 6), (9, 6), (9, 7), (3, 11), (0, 11), (!2, 12), (3, 4), (2, 1),
(3, !4), (!1, !13), (0, !17), (4, !18), (7, !17), (7, !16), (5, !16),
(6, !14), (8, !15),(9, !18), (6, !20), (3, !20), (!3, !18),
(!4, !13), (!2, !4), (!3, !1), (!4, !2), (!6, 2), (!5, 5),
(!10, 12), (!6, 18), (0, 20) STOP!
y-coordinate
Check students’ graphs. The picture should be a seahorse.
y
Name the quadrant or axis where each point is
located. Then give the coordinates of each point.
1. D
II; (!4, 1)
3. F
2
4
16
F
!2
!4
W
P
Q
y-axis; (0, !4)
8
4
!16 !12 !8
y
Graph each point in the coordinate plane.
7. B (!1, 6)
B
6
10. Z (0, !6)
!4
!2
O
2
4
6
!4
!6
30
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All rights reserved.
12 16
!20
!2
V
8
!16
x
!6
4
!12
2
9. V (!3, !4)
x
O
!4
!8
4
8. R (8, !5)
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
O
!2
I; (5, 5)
6. W
IV; (4, !5)
20
x
D
!4
4. T
5. P
y
2
III; (!3, !6)
x-axis; (6, 0)
T
4
2. Q
Z
R
Holt Middle School Math Course 1
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
96
31
Holt Middle School Math Course 1
Holt Middle School Math Course 1