74 GeometryChapter 5 Resource Book

Copyright © McDougal Littell Inc. All rights reserved.

Practice BFor use with pages 295–301

5.5LESSON

NAME _________________________________________________________ DATE ___________

Name the shortest and longest sides of the triangle.

1. 2. 3.

Name the smallest and largest angles of the triangle.

4. 5. 6.

List the sides in order from shortest to longest.

7. 8.

In Exercises 9–12, you are given an 18–inch piece of wire. You want

to bend the wire to form a triangle so that the length of each side

is a whole number.

9. Sketch four possible isosceles triangles and label each side length.

10. Sketch a possible acute scalene triangle.

11. Sketch a possible obtuse scalene triangle.

12. List two combinations of segment lengths that will not produce triangles.

Find the possible measures for in

13. and 14. and 15. and

16. Curtis City is 60 miles NE of Angel Falls. Davis Springs is 40 miles SE ofAngel Falls. Is it possible that Curtis City and Davis Springs are less than100 miles apart? Justify your answer.

YZ � 11XZ � 7YZ � 10XZ � 8YZ � 3XZ � 2

�XYZ.XY

NL

M

K

30�95�35�

100�

A

C

D

B30�

50�

K

L

M

26

16

12

HI

J5

3

6E 9

1112

F

G

A

C

B

80�

85�O

M

N

62�

58�

KM

L

35�

25�

Less

on

5.5

Geometry 33Standardized Test Practice Workbook

1. Multiple Choice Use the diagram to deter-mine which of the following is a possiblelength for

A 10 B 12 C 13

D 15 E 17

2. Multiple Choice In the diagram, which ofthe following is not a possible measure for

A B C

D E

3. Multiple Choice Use the Hinge Theoremand the diagram below to choose the state-ment which must be true.

A

B

C

D

E m�4 > m�2

m�1 < m�2

m�1 > m�2

m�1 � m�2

m�1 > m�3

10

12

1

2

3

4

34�20�

35�30�27�

15

35�

13A D B

C

�DCB?

C B F E

DA

50� 45�

15

AC.

4. Multiple Choice Use the diagram belowand the given information to choose theconclusion that is true.

Given:

A

B

C

D

E

5. Multiple Choice Use the diagram and theHinge Theorem to choose the inequality thatcorrectly describes the restriction on the valueof x.

A B C

D E

6. Multi-Step Problem

a. Sketch an acute triangle ABC withand

b. Draw an exterior angle adjacent to with vertex at and label it

c. Determine

d. What is the shortest side of

e. Use your diagram as a reference to writethe first statement of an indirect proof of“the measure of an exterior angle of a tri-angle is equal to the sum of the two non-adjacent interior angles.”

�ABC?

m�BCD.

�BCD.C,BC

m�C � 55�.m�A � 45�

x > 2x < 2

x < 83x < 4x > 4

2x � 6

60�

50�

3x � 2

10

10

m�A < m�E

m�B > m�D

m�A > m�E

m�D > m�A

m�A > m�D

ED

A B

C

AC > CDAB � ED

TEST TAKING STRATEGY When checking your work, try to use a method other than

the one you originally used to get your answer. If you use

the same method, you may make the same mistake twice.

Standardized Test PracticeFor use with pages 302–308

5.6LESSON

NAME _________________________________________________________ DATE ___________

Copyright © McDougal Littell Inc. All rights reserved.

Ch

apter 5