Geometry: Concepts and Applications

Jerry Cummins, McGraw-Hill, Timothy Kanold, Margaret J. Kenney

Chapter 2

Segment Measure and Coordinate Graphing - all with Video Answers

Educators

Section 1

Real Numbers and Number Lines

Problem 1

. Explain why a number line has arrows at each end.

Yifan Xu

Yifan Xu

Numerade Educator

Problem 2

Write a problem that can be solved by finding $|9-17|$. What is the value of $|9-17| ?$

Amy Jiang

Numerade Educator

Problem 3

Consider $0.34,0.3 \overline{4}$, and $0 . \overline{34}$.
a. How are these numbers alike? How are they different?
b. Which is greatest?
c. How would you read each number?

Wendi Zhao

Numerade Educator

Problem 4

Writing Math Copy and
complete the diagram at the right. Give two examples of each type of number represented in the large rectangle. Write a paragraph describing how this diagram shows the relationship among different sets of numbers.

Charles Carter

Numerade Educator

Problem 5

For each situation, write a real number with ten digits to the right of the decimal point.
an irrational number between 1 and 2

Amy Jiang

Numerade Educator

Problem 6

a rational number greater than 10 with a 2-digit repeating pattern

Linh Vu

Numerade Educator

Problem 7

Use the number line to find each measure.
$C D$

Nathaniel Plew

Numerade Educator

Problem 8

Use the number line to find each measure.
$B F$

Nathaniel Plew

Numerade Educator

Problem 9

Use the number line to find each measure.
$E G$

Nathaniel Plew

Numerade Educator

Problem 10

Geography In the Netherlands, the higher region of the Dunes protects the lower region of the Polders from the sea. The Dunes rise to 25 feet above sea level. The lowest point of the Polders is 22 feet below sea level.
a. Represent these two numbers on a number line.
b. Find the distance between these two points on the number line.

Katelyn Chen

Numerade Educator

Problem 11

For each situation, write a real number with ten digits to the right of the decimal point.
a rational number less than 0 with a 2-digit repeating pattern

Julie Silva

Numerade Educator

Problem 12

For each situation, write a real number with ten digits to the right of the decimal point.
an irrational number between 5 and 6

Amy Jiang

Numerade Educator

Problem 13

a rational number greater than 3 with a 4-digit repeating pattern

AG

Ankit Gupta

Numerade Educator

Problem 14

a rational number between $-3.5$ and $-4$ with a 3-digit repeating pattern

Erika Bustos

Numerade Educator

Problem 15

two irrational numbers between 0 and 1

Nick Johnson

Numerade Educator

Problem 16

an irrational number between $-7$ and $-6.8$

Erika Bustos

Numerade Educator

Problem 17

Use the number line to find each measure.
AJ

MH

Michael Horton

Numerade Educator

Problem 18

Use the number line to find each measure.
AN

MH

Michael Horton

Numerade Educator

Problem 19

Use the number line to find each measure.
$E G$

Nathaniel Plew

Numerade Educator

Problem 20

Use the number line to find each measure.
IM

MH

Michael Horton

Numerade Educator

Problem 21

Use the number line to find each measure.
$J K$

Chris Trentman

Numerade Educator

Problem 22

Use the number line to find each measure.
IN

MH

Michael Horton

Numerade Educator

Problem 23

Use the number line to find each measure.
$F K$

Nathaniel Plew

Numerade Educator

Problem 24

Use the number line to find each measure.
$A P$

MH

Michael Horton

Numerade Educator

Problem 25

Use the number line to find each measure.
$C K$

MH

Michael Horton

Numerade Educator

Problem 26

Use the number line to find each measure.
HM

MH

Michael Horton

Numerade Educator

Problem 27

Find the measure of the distance between $B$ and $J$

Yuva S

Numerade Educator

Problem 28

. What is the measure of the distance between $D$ and $L$ ?

Taylor Shimono

Numerade Educator

Problem 29

Sports Hatsu is practicing on a rock-
climbing range. Markers on the wall
indicate the number of feet she has
climbed. When Hatsu started, she
reached for a handhold at the 6 -foot
marker. She is now reaching for the
22-foot marker.
a. How much higher is the current
handhold than the first one?
b. If the highest handhold is at the
35-foot marker, how far does she need to climb?

Emily Burns

Numerade Educator

Problem 30

Weather The normal high and low temperatures for four cities for January are given in degrees Celsius. Find the measure of the difference between the two temperatures.
a. Boston, $2^{\circ} \mathrm{C},-6^{\circ} \mathrm{C}$
b. San Francisco, $13^{\circ} \mathrm{C}, 6^{\circ} \mathrm{C}$
c. Chicago, $-2^{\circ} \mathrm{C},-11^{\circ} \mathrm{C}$
d. Houston, $16^{\circ} \mathrm{C}, 4^{\circ} \mathrm{C}$

Carson Merrill

Numerade Educator

Problem 31

Critical Thinking Name two points that are 7 units from $-5$ on the number line. (Hint: Use a number line.)

Dale Sanford

Numerade Educator

Problem 32

Critical Thinking Name two points that are 7 units from $-5$ on the number line. (Hint: Use a number line.)

Dale Sanford

Numerade Educator

Problem 33

Critical Thinking Name two points that are 7 units from $-5$ on the number line. (Hint: Use a number line.)

Dale Sanford

Numerade Educator

Problem 34

Critical Thinking Name two points that are 7 units from $-5$ on the number line. (Hint: Use a number line.)

Dale Sanford

Numerade Educator

Problem 35

Name the tool needed to draw each figure.
circle

James Kiss

Numerade Educator

Problem 36

Name the tool needed to draw each figure.
straight line

Arulmozhi T

Numerade Educator

Problem 37

Multiple Choice Monsa purchased shoes that were originally priced at $\$ 84.00$. On that day, the store was having a $10 \%$ off sale. The sales tax was $7 \%$. How much did Monsa pay for the shoes?
(Percent Review)
(A) $\$ 70.31$
(B) $\$ 80.89$
(C) $\$ 85.93$
(D) $\$ 98.87$

Lily An

Numerade Educator