Name ——————————————————————— Date ————————————

C o p y r i g h t © H o l t M c D o u g a l . A l l r i g h t s r e s e r v e d .

Geometry

Chapter 5 Assessment Book

90

Answers

1. 2. 3. 4. 5. 6. 7. 8. 9.10.

Chapter Test A

For use after Chapter 5

}

WY

is the midsegment of

n

QRS

. Find the value of

x

.

1.

Q

W R S Y x

34

2.

Q

W R S Y x

22

3.

Q

S Y W R x

12

4.

S Y W R x

158

Find the coordinates of point

M

in the ﬁgure.

5.

x y

M

(0, 0)(2

h, k

)

6.

x y

M

(0, 0)(

h,

2

k

)

Find the value of

x

.

7.

X Y Z W

162

x

8.

AB E D C

6

x

2

8

x

1

2

Use the information in the diagram to ﬁnd

x

.

9.

M N

Q

L

25

8

(

x

1

10)

8

10.

m

∠

ABC

5

90

8

.

B AD C

45

8

12

x

2

8

CHAPTER

5

Name ——————————————————————— Date ————————————

C o p y r i g h t © H o l t M c D o u g a l . A l l r i g h t s r e s e r v e d .

Geometry

Chapter 5 Assessment Book

91

Answers

11

.

12

.

13

.

14

.

15

.

16

.

17

.

18

.

19

.

20.

Chapter Test A

continued For use after Chapter 5

CHAPTER

5

In

n

ABC

,

Q

is the centroid.

11.

QC

5

12. Find

CM

.

12.

QC

5

6. Find

CL

.

B N C L AM

Q

B N C LAM

Q

List the unknown sides or angles in order from smallest to largest. 13.

R S

Q

40

8

55

8

85

8

14.

B AC

24 3018

Is it possible to construct a tri

angle with the given side lengths? 15.

3, 7, 9

16.

4, 6, 10

17.

2, 7, 10

Complete with <, >, or

5

.

18.

AB

?

BC

19.

RS

?

VW

AB C D

30

8

20

8

R S T V W

Q

45

8

50

8

20.

Arrange statements A–D in order to write an indirect proof of the statement:

If

x

1

y

Þ

10 and

x

5

9, then

y

Þ

1.

A.

But this contradicts the given statement that

x

1

y

Þ

10.

B.

x

1

y

5

9

1

1

5

10

C.

Temporarily assume that

y

5

1.

D.

The contradiction shows that the temporary assumption that

y

5

1 is false. This proves that

y

Þ

1.

Name ——————————————————————— Date ————————————

C o p y r i g h t © H o l t M c D o u g a l . A l l r i g h t s r e s e r v e d .

Geometry

Chapter 5 Assessment Book

92

Answers

1. 2. 3. 4. 5. 6. 7. 8.

Chapter Test B

For use after Chapter 5

See left.

}

WY

is the midsegment of

n

QRS

. Find the value of

x

.

1.

R S Y W x

1

1030

2.

R S Y W x

2

1628

3.

R S Y W

2

x

14

4.

R S Y W

2

x

1

8193

Place the ﬁgure in a coordinate plane in a convenient way. Give the coordinates of each vertex.

5.

Isosceles right triangle:

6.

Rectangle: Length is 3 and Leg length is 3. width is 2.

x y

11

x y

11

In the diagram, the perpendicular bisectors of

n

WXY

meet at point

Z

. Find the indicated measure.

7.

WZ

W Y Z X

435

8.

ZY

W Y Z X

798

CHAPTER

5

See left.

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