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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

670 • Chapter 11 Skills Practice

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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

Lesson 11.1 Skills Practice page 2


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23. 24.

25. 26.

B

A

BA

B

A

B

A


Name ________________________________________________________ Date _________________________


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27. 28.


BA

B

A


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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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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.


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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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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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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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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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.


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.


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.


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.


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.


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


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.


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.


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.


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.


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.


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.


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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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


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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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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