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Math Busters Reproducible Worksheets

These worksheets practice math concepts explained in FFiigguurriinngg OOuutt GGeeoommeettrryy (ISBN: 978-0-7660-2880-7), written by RReebbeeccccaa WWiinnggaarrdd--NNeellssoonn..

MMaatthh BBuusstteerrss FFiigguurriinngg OOuutt GGeeoommeettrryy reproducible worksheets are designed to help teachers, parents, and tutors use the books from the Math Busters series in the classroom and the home. The answers to the problems are contained in the Answers section starting on page 59.

Teachers, librarians, tutors, and parents are granted permission and encouraged to make photocopies of these worksheets.

These worksheets are reproducible for educational use only and are not for resale. © 2008 Enslow Publishers, Inc.

Visit www.enslow.com and search for the MMaatthh BBuusstteerrss series to download worksheets for the following titles:

AAllggeebbrraa aanndd PPrree--AAllggeebbrraa FFiigguurriinngg OOuutt GGeeoommeettrryy 978-0-7660-2879-1 978-0-7660-2880-7

DDeecciimmaallss aanndd FFrraaccttiioonnss RRaattiiooss aanndd PPeerrcceennttss 978-0-7660-2877-7 978-0-7660-2878-4

DDiivviissiioonn aanndd MMuullttiipplliiccaattiioonn SSuubbttrraaccttiioonn aanndd AAddddiittiioonn 978-0-7660-2876-0 978-0-7660-2875-3

Titles in this series can be purchased directly from:

Enslow Publishers, Inc. 40 Industrial Road, Box 398 Berkeley Heights, NJ 07922-0398 Phone: 1-800-398-2504 email: customerservice@enslow.com Web Page: http://www.enslow.com

2

Points, Lines, and Planes

a. Name four points.

b. Name three lines.

c. Name the plane.

d. Name a horizontal line.

e. Name a vertical line.

f. Name an oblique line.

g. Name all four lines.

h. Name any four points.

i. Name the plane.

j. Name a horizontal line.

3

Name __________________________________ Date ___________________

© Enslow Publishers, Inc. Sheets are reproducible for educational use only.

A p C

n

D

B

A C

m

D B

Points, Lines, and Planes

Use the correct symbols in your answers.

a. Name four points.

b. Name three lines.

c. Name the plane.

d. Name a horizontal line.

e. Name a vertical line.

f. What kind of line is line AC?

g. A straight set of points that extends forever in two directions is called a __________.

h. A(n) __________ names an exact location in space.

i. A flat surface that continues in all directions is called a _______.

j. A(n) _________ line is not horizontal or vertical.

k. A(n) __________ line appears to go straight up and down.

l. A(n) __________ line appears to lie flat from left to right.

Name __________________________________ Date ___________________

4

© Enslow Publishers, Inc. Sheets are reproducible for educational use only.

A

E

m

G

C

A

Rays and Line Segments

Use the drawing to answer the following questions.

a. Name five rays.

b. Name five line segments.

c. Which can be measured, a ray or line segment? __________

d. A line segment has ______ end points.

Use the figure below for items e–i.

e. Name four line segments.

f. Name three rays.

g. Are TK and KT the same ray?

h. Are TA and AT the same line segment?

i. Are TK and KT the same line?

TK

M

P

5

Name __________________________________ Date ___________________

© Enslow Publishers, Inc. Sheets are reproducible for educational use only.

R

N

T

S

Rays and Line Segments

a. Draw a ray PQ.

b. Draw a line segment RS .

c. Name three rays.

d. Name four line segments.

e. Name the ray.

f. Name the two rays that make up this angle.

g. How many rays are in this figure?

Name __________________________________ Date ___________________

6

© Enslow Publishers, Inc. Sheets are reproducible for educational use only.

D A T

R A E L

R K

L

P T

P

Z

V

K

7

Name __________________________________ Date ___________________

© Enslow Publishers, Inc. Sheets are reproducible for educational use only. Score:

Line relationships

a. MN intersects PQ at ______.

b. SV is ____________ to MN.

c. MN and ST are the same distance apart at all points. These lines are

called __________________.

d. Two lines in different planes that do not intersect and are not parallel

are called _______________ .

e. What is the relationship between KA and RN ?

They are _________________ .

f. What is the relationship between MB and NR?

They are _________________ .

M R

P

S Q

NV

M

N

S

T

K

M

B R

A N

Name __________________________________ Date ___________________

8

© Enslow Publishers, Inc. Sheets are reproducible for educational use only. Score:

Line Relationships

a. What line intersects ZR?

b. BL is __________ to FP.

c. Lines that are always the same distance apart are called

_______________________ .

d. Point E is called the point of _______________________ .

e. What does the symbol � mean?

f. JU and ST are parallel. Write this using a symbol.

____________________

g. If all four angles at an intersection are right angles, the two lines are

called ____________ .

B

R

F

L

P

Z

A

C

B

D

E

J

S

U F

T

I

Angles

a. Name this angle in three ways.

b. What is the vertex of this angle?

c. Name the two rays.

d. Do �RKM and �MKR name the same angle?

e. Name �RKM without using letters.

f. Name �1 using three letters.

g. Classify �1 by its measurement.

h. Classify �2 by its measurement.

i. Classify �STU by its measurement.

9

Name __________________________________ Date ___________________

© Enslow Publishers, Inc. Sheets are reproducible for educational use only.

A

B 2

C

R

K

5

M

S

R

T

U21

Name __________________________________ Date ___________________

Angles

a. Angles that measure less than 90° are called _________ angles.

b. Angles that measure greater than 90°, but less than 180° are called _________ angles.

c. Angles that measure exactly 90° are called _________ angles.

d. Angles that measure exactly 180° are called _________ angles.

e. Angles that measure greater than 180°, but less than 360° are called _________ angles.

f. Draw an acute angle. g. Draw a right angle.

h. Draw an obtuse angle. i. Draw a reflex angle.

10

© Enslow Publishers, Inc. Sheets are reproducible for educational use only.

Angle Relationships

a. Two angles that share a vertex and a side are called _________.

b. If two angles are supplementary, their sum is __________.

c. If two angles are complementary, their sum is __________.

d. Angles that have the same measure are called __________.

e. What angles are adjacent to �1?

f. What angles are adjacent to �2?

g. In the figures above, which two angles are complementary?

h. In the figures above, which two angles are supplementary?

11

Name __________________________________ Date ___________________

© Enslow Publishers, Inc. Sheets are reproducible for educational use only.

1 2

3

5 6 7 8

4

Name __________________________________ Date ___________________

12

© Enslow Publishers, Inc. Sheets are reproducible for educational use only.

Angle Relationships

a. Name the complementary angles.

b. Name the supplementary angles.

c. �P and �R are supplementary angles. If the measure of �R is 37°, what is the measure of �P?

d. �C and �D are complementary angles. If the measure of �C is 23°, what is the measure of �D?

e. �A and �B are congruent angles. If the measure of �A is 65°, what is the measure of �B?

f. �F and �G are supplementary angles. If they are also congruent, what is the measure of �F?

g. �X and �Y are complementary angles. If they are also congruent, what is the measure of �X?

80° 1

30°3

60° 2

120° 4

13

Name __________________________________ Date ___________________

© Enslow Publishers, Inc. Sheets are reproducible for educational use only.

Angles of Intersecting Lines

a. Name two linear pairs.

b. Name two sets of vertical angles.

Circle the correct answer.

c. Linear pairs are always congruent complementary supplementary.

d. Vertical angles are always congruent complementary supplementary.

Use the following to fill in the blanks for e–j.

point of intersection 360° vertical angles