Holt Geometry - Algebra 1

[Pages:85]Holt Geometry

Homework and Practice Workbook

Copyright ? by Holt, Rinehart and Winston.

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Printed in the United States of America ISBN 0-03-078087-X

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Contents

Blackline Masters 1-1 Practice B ............................................... 1 1-2 Practice B ............................................... 2 1-3 Practice B ............................................... 3 1-4 Practice B ............................................... 4 1-5 Practice B ............................................... 5 1-6 Practice B ............................................... 6 1-7 Practice B ............................................... 7 2-1 Practice B ............................................... 8 2-2 Practice B ............................................... 9 2-3 Practice B ............................................. 10 2-4 Practice B ............................................. 11 2-5 Practice B ............................................. 12 2-6 Practice B ............................................. 13 2-7 Practice B ............................................. 14 3-1 Practice B ............................................. 15 3-2 Practice B ............................................. 16 3-3 Practice B ............................................. 17 3-4 Practice B ............................................. 18 3-5 Practice B ............................................. 19 3-6 Practice B ............................................. 20 4-1 Practice B ............................................. 21 4-2 Practice B ............................................. 22 4-3 Practice B ............................................. 23 4-4 Practice B ............................................. 24 4-5 Practice B ............................................. 25 4-6 Practice B ............................................. 26 4-7 Practice B ............................................. 27 4-8 Practice B ............................................. 28 5-1 Practice B ............................................. 29 5-2 Practice B ............................................. 30 5-3 Practice B ............................................. 31 5-4 Practice B ............................................. 32 5-5 Practice B ............................................. 33 5-6 Practice B ............................................. 34 5-7 Practice B ............................................. 35 5-8 Practice B ............................................. 36 6-1 Practice B ............................................. 37 6-2 Practice B ............................................. 38 6-3 Practice B ............................................. 39 6-4 Practice B ............................................. 40 6-5 Practice B ............................................. 41

6-6 Practice B ............................................. 42 7-1 Practice B ............................................. 43 7-2 Practice B ............................................. 44 7-3 Practice B ............................................. 45 7-4 Practice B ............................................. 46 7-5 Practice B ............................................. 47 7-6 Practice B ............................................. 48 8-1 Practice B ............................................. 49 8-2 Practice B ............................................. 50 8-3 Practice B ............................................. 51 8-4 Practice B ............................................. 52 8-5 Practice B ............................................. 53 8-6 Practice B ............................................. 54 9-1 Practice B ............................................. 55 9-2 Practice B ............................................. 56 9-3 Practice B ............................................. 57 9-4 Practice B ............................................. 58 9-5 Practice B ............................................. 59 9-6 Practice B ............................................. 60 10-1 Practice B ........................................... 61 10-2 Practice B ........................................... 62 10-3 Practice B ........................................... 63 10-4 Practice B ........................................... 64 10-5 Practice B ........................................... 65 10-6 Practice B ........................................... 66 10-7 Practice B ........................................... 67 10-8 Practice B ........................................... 68 11-1 Practice B ........................................... 69 11-2 Practice B ........................................... 70 11-3 Practice B ........................................... 71 11-4 Practice B ........................................... 72 11-5 Practice B ........................................... 73 11-6 Practice B ........................................... 74 11-7 Practice B ........................................... 75 12-1 Practice B ........................................... 76 12-2 Practice B ........................................... 77 12-3 Practice B ........................................... 78 12-4 Practice B ........................................... 79 12-5 Practice B ........................................... 80 12-6 Practice B ........................................... 81 12-7 Practice B ........................................... 82

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

iii

Holt Geometry

Name

Date

Class

LESSON Practice B 1-1 Understanding Points, Lines, and Planes

Use the figure for Exercises 1?7.

1.

Name

a

plane.

Possible

answers: plane BCD; plane

___ _

BED

2. Name a segment.

BD, BC, B o E

3. Name a line.

Possible answers: EC; BC; BE

# "

4. Name three collinear points.

%

points B, C, and E

$

5. Name three noncollinear points.

Possible answers: points B, C, and D or points B, E, and D

6. Name the intersection of a line and a segment not on t_h_e_>line. ___>

7. Name a pair of opposite rays.

BC and BE

point B

Use the figure for Exercises 8?11.

8. Name the points that determine plane R.

points X, Y, and Z

9. Name the point at which line m intersects

plane R.

point Z

10. Name two lines in ne R thintersect line m.

XZ and YZ

11. Name a line in plane R thates not intersect

line m.

XY

M

: 7

8

9

Draw your answers in the space provided.

Michelle Kwan won a bronze medal in figure skating at the 2002 Salt Lake City Winter Olympic Games.

12. Michelle skates straight ahead from point L and stops at point M. Draw her path.

,

-

13. Michelle skates straight ahead from point L and continues

RAY

through point M. Name a figure that represents her path.

,

-

Draw her path.

14. Michelle and her friend Alexei start back to back at point L and skate in opposite directions. Michelle skates through point M, and Alexei skates through point K. Draw their paths.

+ ,-

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1

Holt Geometry

Name

Date

Class

LESSON Practice B 1-2 Measuring and Constructing Segments

Draw your answer in the space provided.

_

_

1. Use a compass and straightedge to construct XY congruent to UV .

5

6

8

9

Find the coordinate of each point.

"%

$

#

2. D 0

3. C 2

Find each length.

5. BE 0.5

6. DB 4

4. E 3.5 7. EC 5.5

For Exercises 8?11, H is between I and J.

8. HI 3.9 and HJ 6.2. Find IJ. 10.1

9. JI 25 and IH 13. Find HJ. 12

_

10. H is the midpoint of IJ , and IH 0.75. Find HJ.

0.75

_

11. H is the midpoint of IJ , and IJ 9.4. Find IH.

4.7

Find the measurements.

12. + X ,

X

-

X

Find LM. 7

13. A pole-vaulter uses a 15-foot-long pole. She grips the pole so that the segment below her left hand is twice the length of the segment above her left hand. Her right hand grips the pole 1.5 feet above her left hand. How far up the pole is her right hand?

11.5 ft

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

2

Holt Geometry

Name

Date

LESSON Practice B 1-3 Measuring and Constructing Angles

Draw your answer on the figure.

1. Use a compass and strai_g_h_>tedge to %

construct angle bisector DG .

'

Class

$

&

#

2. Name eight different angles in the figure.

A, C, ABC, ABD, ADB,

"

ADC, CBD, and CDB

!

$

9

Find the measure of each angle

and classify each as acute, right, obtuse, or straight.

8

:

3. YWZ

90; right

7

4. XWZ

120; obtuse

5. YWX

30; acute

T is in the interior of PQR . Find each of the following.

6. mPQT if mPQR 25? and mRQT 11. 14

7. mPQR if mPQR (10x 7), mRQT 5x?, and mPQT (4x 6). 123

__>

8. mPQR if QT bisects PQR, mRQT (10x 13), and mPQT (6x 1).

44

9. Longitude is a measurement of position around the equator of Earth. Longitude is measured in degrees, minutes, and seconds. Each degree contains 60 minutes, and each minute contains 60 seconds. Minutes are indicated by the symbol and seconds are indicated by the symbol . Williamsburg, VA, is located at 76?4225. Roanoke, VA, is located at 79?5730. Find the difference of their longitudes in degrees, minutes, and seconds.

31505

10. To convert minutes and seconds into decimal parts of a degree, divide the number of minutes by 60 and the number of seconds by 3,600. Then add the numbers together. Write the location of Roanoke, VA, as a decimal to the nearest thousandths of a degree.

79.958

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3

Holt Geometry

Name

Date

Class

LESSON Practice B 1-4 Pairs of Angles

1. PQR and SQR form a linear pair. Find the sum o_f_th_>eir measures.

2. Name the ray that PQR and SQR share.

QR

180

Use the figures for Exercises 3 and 4.

3. supplement of Z 137.9

4. complement of Y (110 8x)

:

9 X

5. An angle measures 12 degrees less than three times its supplement. Find the

measure of the angle.

132

6. An angle is its own complement. Find the measure of a supplement to this angle.

135

7. DEF and FEG are complementary. mDEF (3x 4)?, and mFEG (5x 6)?.

Find the measures of both angles.

mDEF 29; mFEG 61

8. DEF and FEG are supplementary. mDEF (9x 1)?, and mFEG (8x 9)?.

Find the measures of both angles.

mDEF 91; mFEG 89

Use the figure for Exercises 9 and 10. In 2004, several nickels were minted to commemorate the Louisiana Purchase and Lewis and Clark's expedition into the American West. One nickel shows a pipe and a hatchet crossed to symbolize peace between the American government and Native American tribes.

9. Name a pair of vertical angles.

Possible answers: 1 and 3 or 2 and 4

10. Name a linear pair of angles.

Possible answers: 1 and 2; 2 and 3; 3 and 4; or 1 and 4

11. ABC and CBD form a linear pair and have equal measures. Tell if ABC is acute, right, or obtuse.

__>

12. KLM and MLN are complementary. LM bisects KLN. Find the measures of KLM and MLN.

right 45?; 45?

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

4

Holt Geometry

Name

Date

Class

LESSON Practice B 1-5 Using Formulas in Geometry

Use the figures for Exercises 1?3. 1. Find the perimeter of triangle A. 2. Find the area of triangle A.

12 ft 6 ft2

3. Triangle A is identical to triangle B. Find the height h of triangle B.

2.4

ft

or

2

_2_ 5

ft

!

FT

FT

FT

"

H

FT

Find the perimeter and area of each shape. 4. square with a side 2.4 m in length

5. rectangle with length (x 3) and width 7

P 9.6 m; A 5.76 m2

P 2x 20; A 7x 21

6. Although a circle does not have sides, it does have a perimeter. What is the term for the perimeter of a circle?

circumference

Find the circumference and area of each circle.

7.

8.

MI

CM

9.

X

5SEFORP

C 44 mi A 154 mi2

5SEFORP

C 9.42 cm A 7.065 cm2

,EAVEPASP

C 2(x 1) A (x 2 2x 1)

10.

The

area

of

a

square

is

_1_ 4

in2.

Find

the

perimeter.

2 in.

11. The area of a triangle is 152 m2, and the height is 16 m. Find the base.

12. The circumference of a circle is 25 mm. Find the radius. 12.5 mm

19 m

Use the figure for Exercises 13 and 14.

Lucas has a 39-foot-long rope. He uses all the rope to

outline this T-shape in his backyard. All the angles in

the figure are right angles.

13. Find x.

7.5 ft

14. Find the area enclosed by the rope.

42 ft2

FT

FT FT

FT FT

X

X

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

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Holt Geometry

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