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Chapter 11 Skills Practice • 669
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Four QuadrantsExtending the Coordinate Plane
VocabularyDefine each term in your own words.
1. quadrant
2. Cartesian coordinate plane
Problem SetPlot the point represented by each coordinate pair in the coordinate plane. Determine in which
quadrant the point lies or on which axis.
1. A (5, 8) Quadrant I
2. B (22, 26)
3. C (24, 3)
4. D (0, 28)
5. E (1, 3)
6. F (3, 22)
7. G (27, 29)
8. H (5, 26)
9. I (9, 0)
10. J (21, 7)
Lesson 11.1 Skills Practice
Name ________________________________________________________ Date _________________________
A
x–2–4 2 4 6 8–6–8
y
0
–8
–6
–4
–2
2
4
6
8
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Write the coordinate pair for each point. Determine in which quadrant the
point lies or on which axis.
11. Point A (2, 5) Quadrant I
12. Point B
13. Point C
14. Point D
15. Point E
16. Point F
17. Point G
18. Point H
19. Point I
20. Point J
Points A and B are labeled on each coordinate plane. Identify the ordered pair associated with each
point. Write an absolute value equation to calculate the distance between point A and point B.
21. 22.
Point A (4, 8)
Point B (4, 22)
|8| 1 |22| 5 10
D
AH
F
C
E
GB
J
I
x–2–4 2 4 6 8–6–8
y
0
–8
–6
–4
–2
2
4
6
8
B
A
BA
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23. 24.
25. 26.
B
A
BA
B
A
B
A
Lesson 11.1 Skills Practice page 3
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27. 28.
Lesson 11.1 Skills Practice page 4
BA
B
A
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Lesson 11.2 Skills Practice
Name ________________________________________________________ Date _________________________
Geometry and GraphsGraphing Geometric Figures
Problem SetPlot and label the points to create the figure or figures described.
1. The points A(2, 0) and B(2, 4) are plotted on the coordinate
plane. Plot and label points C, D, E, and F so that two
squares, ABCD and ABEF, are formed. Draw the squares.
2. The points A(22, 2) and B(2, 2) are plotted on the
coordinate plane. Plot and label points C, D, E, and F so
that two squares, ABCD and ABEF, are formed.
Draw the squares.
(22,4)E B(2,4) C(6,4)
(22,0)F A(2,0) D(6,0)
–2–4 2 4 6 8–6–8 0
–8
–6
–4
–2
2
4
6
8
x
y
A(−2,2) B(2,2)
–2–4 2 4 6 8–6–8 0
–8
–6
–4
–2
2
4
6
8
x
y
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Lesson 11.2 Skills Practice page 2
3. The points A(24, 2) and B(24, 7) are plotted on the
coordinate plane. Plot and label points C, D,
E, and F so that two squares, ABCD and ABEF, are
formed. Draw the squares.
4. The points A(22, 24) and B(3, 24) are plotted on
the coordinate plane. Plot and label points C, D,
E, and F so that two squares, ABCD and ABEF,
are formed. Draw the squares.
5. Line segment AB is plotted on the coordinate
plane. Plot and label points C and D so that
parallelogram ABCD with a height of 6 units is formed.
Draw the parallelogram.
A(−4,2)
B(−4,7)
y
x–2–4 2 4 6 8–6–8 0
–8
–6
–4
–2
2
4
6
8
x
y
B(3,−4)
C(3,1)
A(−2,−4)
–2–4 2 4 6 8–6–8 0
–8
–6
–4
–2
2
4
6
8
B(5,4)A(−3,4)
x
y
–2–4 2 4 6 8–6–8 0
–8
–6
–4
–2
2
4
6
8
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6. Line segment AB is plotted on the coordinate
plane. Plot and label points C and D so that
parallelogram ABCD with a height of 2 units is formed.
Draw the parallelogram.
7. Line segment AB is plotted on the coordinate plane.
Plot and label points C and D so that trapezoid
ABCD with a height of 4 units is formed. Draw the
trapezoid.
8. Line segment AB is plotted on the coordinate plane.
Plot and label points C and D so that trapezoid
ABCD with a height of 3 units is formed. Draw the
trapezoid.
Lesson 11.2 Skills Practice page 3
Name ________________________________________________________ Date _________________________
B(3,6)A(−2,6)
x
y
–2–4 2 4 6 8–6–8 0
–8
–6
–4
–2
2
4
6
8
A B
B
A
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Lesson 11.2 Skills Practice page 4
Graph the points on each coordinate plane. Connect the points with line segments and identify the
resulting figure.
9.
The figure is a quadrilateral.
10.
x y
1 21
0 25
23 27
24 22
x y
1 3
1 7
23 5
23 1
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Lesson 11.2 Skills Practice page 5
Name ________________________________________________________ Date _________________________
11.
12.
x y
4 3
7 3
7 25
4 25
x y
22 2
24 7
26 7
28 2
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Lesson 11.2 Skills Practice page 6
14.
13. x y
22 23
28 23
25 27
x y
3 2
5 2
6 5
4 7
2 5
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Lesson 11.2 Skills Practice page 7
Name ________________________________________________________ Date _________________________
Plot and label the points to create each figure described.
15. The points A(23, 21) and B(5, 24) are endpoints
of one diagonal of a rectangle. Plot and label
points C and D so that the rectangle ACBD is
formed. Draw the rectangle.
16. The points A(22, 5) and B(26, 23) are endpoints
of one diagonal of a rectangle. Plot and label
points C and D so that the rectangle ACBD
is formed. Draw the rectangle.
A D
BC
A
B
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17. The points A(3, 3) and B(3, 23) are endpoints of one
diagonal of a square. Plot and label points C and D
so that square ACBD is formed. Draw the square.
Lesson 11.2 Skills Practice page 8
18. The points A(27, 5) and B(1, 5) are endpoints of one
diagonal of a square. Plot and label points C and D so
that square ACBD is formed. Draw the square.
A(3,3)
B(3,−3)
–2–4 2 4 6 8–6–8 0
y
x
–8
–6
–4
–2
2
4
6
8
B(1,5)A(−7,5)
x
y
–2–4 2 4 6 8–6–8 0
–8
–6
–4
–2
2
4
6
8
19. Plot and identify 5 points that are the vertices of a
pentagon. Draw the pentagon.
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20. Plot and identify 4 points that are the vertices of
a parallelogram. Draw the parallelogram.
Lesson 11.2 Skills Practice page 9
Name ________________________________________________________ Date _________________________
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Water, Water EverywhereSolving Problems with Multiple Representations
Problem SetComplete each table.
1. A free diver is diving at a constant rate of 1.2 feet per second. Complete the table to
show the diver’s depth, d, after t seconds.
Lesson 11.3 Skills Practice
Name ________________________________________________________ Date _________________________
Time,t(inseconds)
Depth,d (infeet)
30 236
60
90
120
2. An airplane is taking off and climbing at a constant rate of 1400 feet per minute. Complete the
table to show the airplane’s altitude, a, after t minutes.
Time,t(inminutes)
Altitude,a (infeet)
1
1.5
2
2.5
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3. A mountain climber is ascending a challenging section of a mountain at a rate of 3 feet per minute.
Complete the table to show the height that the climber ascends, h, after t minutes.
Lesson 11.3 Skills Practice page 2
Time,t(inminutes)
Height,h (infeet)
2
4
6
8
4. A helium balloon is rising at a constant rate of 300 feet per minute. Complete the table to show the
balloon’s altitude, a, after t minutes.
Time,t(inminutes)
Altitude,a (infeet)
0.25
0.5
1
1.5
5. A backyard pool is being filled with water at a constant rate of 5 gallons per minute. Complete the
table to show the volume of water added to the pool, v, after t minutes.
Time,t(inminutes)
Volume,v (ingallons)
30
60
90
120
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6. A submarine is diving at a constant rate of 8 feet per second. Complete the table to show the
submarine’s depth, d, after t seconds.
Lesson 11.3 Skills Practice page 3
Name ________________________________________________________ Date _________________________
Time,t(inseconds)
Depth,d (infeet)
15
30
45
60
Write an equation that represents each situation.
7. A free diver is diving at a constant rate of 0.9 feet per second.
t 5 time in seconds
d 5 depth in feet
d 520.9t
8. An airplane is taking off and climbing at a constant rate of 2000 feet per minute.
9. A mountain climber is ascending a challenging section of a mountain at a rate of 2 feet per minute.
10. A helium balloon is rising at a constant rate of 400 feet per minute.
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11. A backyard pool is being filled with water at a constant rate of 4.5 gallons per minute.
12. A submarine is diving at a constant rate of 12 feet per second.
Graph the equation that represents each situation.
13. A free diver is diving at a constant rate of
0.75 feet per second.
t 5 time in seconds
d 5 depth in feet
d 5 20.75t
Lesson 11.3 Skills Practice page 4
14. An airplane is taking off and climbing at a constant
rate of 1500 feet per minute.
Dep
th, d
(in
feet
)Time, t (in seconds)
d = –0.75t
20020 6040 80 100 120 140 160 1800
–20
–40
–60
–80
–100
–120
–140
–160
–180
–200
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15. A mountain climber is ascending a mountain at a
rate of 5 feet per minute.
Lesson 11.3 Skills Practice page 5
Name ________________________________________________________ Date _________________________
16. A helium balloon is rising at a constant rate of
200 feet per minute.
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17. A backyard pool is being filled with water at
a constant rate of 4 gallons per minute.
Lesson 11.3 Skills Practice page 6
18. A submarine is diving at a constant rate of
10 feet per second.
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Every Graph Tells a Story!Interpreting Graphs
Problem SetTell a story to describe each graph.
1.
Lesson 11.4 Skills Practice
Name ________________________________________________________ Date _________________________
Answers may vary.
The person’s heart rate increased as she warmed up and began to exercise. Then, it
leveled off as she exercised at a steady pace for a while. Her heart rate began to fall
back to normal as she slowed down and cooled off at the end.
2.
Hea
rt R
ate
(bea
ts p
er m
inu
te)
Time Spent Exercising (in minutes)
Tem
per
atur
e o
f T
ea (°
F)
Time Spent Cooling (in minutes)
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3.
Lesson 11.4 Skills Practice page 2
4.
Wat
er L
evel
of
Bir
d B
ath
(in
inch
es)
Time (in days)
Len
gth
of H
air
(in in
ches
)
Time (in years)
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5.
Lesson 11.4 Skills Practice page 3
Name ________________________________________________________ Date _________________________
6.
Dis
tan
ce f
rom
Ho
me
(in m
iles)
Time (in minutes)
Mo
ney
Sp
ent
Ove
r B
ud
get
($)
Time (in months)
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9. Carissa was jogging in the park with her dog. Twice during their jog they slowed to a walk to rest
before continuing to jog at a faster pace.
a. b. c.
Choose the graph that best represents each scenario.
7. Carla filled a mug with tea. Every few minutes Carla took a drink from the mug.
a. b. c.
Lesson 11.4 Skills Practice page 4
The graph that best represents the scenario is c.
8. Marcel was playing basketball. The basketball sprung a leak and the air steadily drained out of
the basketball.
a. b. c.
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Lesson 11.4 Skills Practice page 5
Name ________________________________________________________ Date _________________________
10. Jessica filled her little brother’s baby pool in the backyard. As her brother played in the pool, he
dumped buckets of water out of the pool.
11. Jamal was riding his bike. When he rode up a hill, his speed decreased. When he rode down a hill,
his speed increased.
12. Lauren released a helium balloon outside. The balloon rose at a constant rate.
a. b. c.
a. b. c.
a. b. c.
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Dis
tanc
e (in
mile
s)
Time (in days)
1000
0
100
200
300
400
500
600
700
800
900
41 2 3
Lesson 11.4 Skills Practice page 6
14. Belinda’s cell phone plan charges $30 per month plus $0.10 per text message sent.
In January, Belinda sent 75 text messages. In February, Belinda sent 50 text messages.
In March, Belinda sent 100 text messages.
Draw a graph to represent each scenario. Label the axes with the appropriate quantities.
13. Natasha and her family took a 3 day trip to her grandmother’s house. On the first day they
drove 300 miles. On the second day they drove 350 miles. On the third day they drove the
remaining 200 miles.
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Lesson 11.4 Skills Practice page 7
Name ________________________________________________________ Date _________________________
15. Nina is draining a 1200 gallon pool with a garden hose. After 2 hours, Nina finds that half of the
water has drained out of the pool, but the garden hose becomes clogged and stops draining. It
takes Nina an hour to clear the clog, and the pool begins to drain again. After 5 hours the pool is
completely drained.
16. During a snow storm, light snow begins to fall and accumulates 1 inch in 3 hours. Then heavy
snow squalls dump 6 more inches of snow in 2 hours. Finally light snow flurries add another inch
of snow in 4 hours.
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