Geo Benchmark Spring 2007 (4th Six Weeks)

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Name _______________________ Teacher ____________________Date _______________________ Section ____________________GEOMETRY BENCHMARK - SPRING 2007 (4th Six Weeks)Instructions:Unpublished Work, Copyright © 2002-2006, Education Service Center Region 10. All Rights Reserved.GEOMETRY BENCHMARK - SPRING 2007 (4th Six Weeks)1. 4.A picture of a honeycomb can be drawn byrepeating a hexagon without overlapping orleaving empy spaces. Which of these wouldproduce this design?A. FractalB. TessellationC. Three-dimensional drawingD. Dilation2.What transformation maps a small letter "d" toa capital letter "P"?A. A translationB. A dilationC. A reflectionD. A rotation3. A. SASB. ASAC. SSSD. AAAA. SSSB. SASC. AAAD. ASAPage: 1 GO ONUnpublished Work, Copyright © 2002-2006, Education Service Center Region 10. All Rights Reserved.GEOMETRY BENCHMARK - SPRING 2007 (4th Six Weeks)5. 7.SMILEY is a regular hexagon. Which pair of Which of the following does not give enoughtriangles formed within SMILEY can be information to prove that ∆WXZ ∆YXZ?proven congruent using SSS congruence?A.B.A. bisects and C. B. Z is the midpoint of and C. and D. the perpendicular bisector of D.8.To make a wallpaper pattern, a figure is6. rotated 90°, flipped across a vertical line, andIn the figure below, , , and translated 8 units to the right. and are right angles. ∆GEM ∆RTOby: How does the resulting figure relate to theoriginal figure?A. It is bigger.B. It is ...

Informations

• Publié par: Ollu
• Nombre de lectures: 101
• Langue: English

Extrait

Name _______________________

Date

_______________________

Teacher ____________________

Section ____________________

GEOMETRY BENCHMARK - SPRING 2007 (4th Six Weeks)

Instructions:

Unpublished Work, Copyright © 2002-2006, Education Service Center Region 10. All Rights Reserved.

1.

A picture of a honeycomb can be drawn by

repeating a hexagon without overlapping or

leaving empy spaces. Which of these would

produce this design?

A.

Fractal

B.

Tessellation

C.

Three-dimensional drawing

D.

Dilation

2.

What transformation maps a small letter "d" to

a capital letter "P"?

A.

A translation

B.

A dilation

C.

A reflection

D.

A rotation

3.

A.

SSS

B.

SAS

C.

AAA

D.

ASA

4.

A.

SAS

B.

ASA

C.

SSS

D.

AAA

GEOMETRY BENCHMARK - SPRING 2007 (4th Six Weeks)

Unpublished Work, Copyright © 2002-2006, Education Service Center Region 10. All Rights Reserved.

Page: 1

GO ON

5.

SMILEY is a regular hexagon. Which pair of

triangles formed within SMILEY can be

proven congruent using SSS congruence?

A.

B.

C.

D.

6.

In the figure below,

,

, and

and

are right angles. ∆GEM

∆RTO

by:

A.

SAS

B.

AAS

C.

ASA

D.

HL

7.

Which of the following does not give enough

information to prove that ∆WXZ

∆YXZ?

A.

bisects

and

B.

Z is the midpoint of

and

C.

and

D.

the perpendicular bisector of

8.

To make a wallpaper pattern, a figure is

rotated 90°, flipped across a vertical line, and

translated 8 units to the right.

How does the resulting figure relate to the

original figure?

A.

It is bigger.

B.

It is smaller.

C.

It is in the original position.

D.

It is congruent.

9.

The area of a small circular dish is

8 square inches. If the radius of the dish were

TRIPLED, what would be the area of the new,

larger dish?

A.

8 in.²

B.

16 in.²

C.

24 in.²

D.

72 in.²

GEOMETRY BENCHMARK - SPRING 2007 (4th Six Weeks)

Unpublished Work, Copyright © 2002-2006, Education Service Center Region 10. All Rights Reserved.

Page: 2

GO ON

10.

The ratio of the surface area of two spheres is

25:49. What is the ratio of their volumes?

A.

B.

5:7

C.

25:49

D.

125:343

11.

Triangle

ABC

is similar to Triangle

XYZ

.

What is the value of

n

?

A.

B.

C.

8

D.

12.

Mr. Jenkins placed two advertisements in the

local paper announcing the grand opening of

his new store. The large ad had dimensions of

6 centimeters by 12 centimeters, and the

second ad was reduced by a scale factor of

.

What was the size of the reduced ad?

A.

2 cm by 4 cm

B.

3 cm by 6 cm

C.

4 cm by 8 cm

D.

4 cm by 10 cm

13.

Which set of dimensions corresponds to a

rectangular prism similar to the one shown

below?

A.

18, 9, and 6 units

B.

4, 3, and 9 units

C.

4, 12, and 5 units

D.

32, 72, and 18 units

14.

Which of the following transformations

produces a figure that is similar but not

congruent to the original figure?

I. Rotation

II. Translation

III. Dilation

A.

I and II only.

B.

I only.

C.

II and III only.

D.

III only.

15.

In ∆PQR, PQ = 9, QR = 12, and

= 50°.

In ∆XYZ, XZ = 24, YZ = 18,

= 60°, and

= 70°. Are the two triangles similar? If

so, write the similarity statement.

A.

No, they are not similar.

B.

Yes, ∆PQR~∆XYZ.

C.

Yes, ∆PQR~∆YZX.

D.

Yes, ∆PQR~∆ZXY.

GEOMETRY BENCHMARK - SPRING 2007 (4th Six Weeks)

Unpublished Work, Copyright © 2002-2006, Education Service Center Region 10. All Rights Reserved.

Page: 3

GO ON

16.

In the diagram below, a metal support brace is

added to stabilize a metal triangle. The brace

is parallel to the 18-foot base of the triangle

and divides the left side into a 4-foot and a 6-

foot section. Which is closest to the length of

the metal support brace

A.

7 feet

B.

11 feet

C.

12 feet

D.

15 feet

17.

An artist designed a business logo in the shape

of an isosceles triangle whose legs have a

length of

inches and whose base has a

length of

inches. The logo is to be

reproduced so that the base is 14 inches. What

is the enlarged length of the other sides?

A.

inches

B.

11 inches

C.

17 inches

D.

inches

18.

Antonio is purchasing a new rope for the

school flagpole, but he does not know the

exact height of the pole. Antonio measures the

shadows of a yardstick and the pole at the

same time of day as shown below.

If Antonio wants the rope to be 2.5 times the

height of the flagpole, what should be the

length of the rope?

A.

15 feet

B.

37.5 feet

C.

50 feet

D.

62.5 feet

19.

A tree cast a shadow 64 feet long. At the same

time, a girl 5 feet tall standing near the tree

cast a shadow that is 8 feet long. Which of the

following represents the height of the tree?

A.

61 feet

B.

51 feet

C.

40 feet

D.

25 feet

GEOMETRY BENCHMARK - SPRING 2007 (4th Six Weeks)

Unpublished Work, Copyright © 2002-2006, Education Service Center Region 10. All Rights Reserved.

Page: 4

GO ON

20.

In the figure below, triangle

GHJ

is similar to

triangle

GTR

.

What is the value of Line

GJ

?

A.

10

B.

18

C.

19

D.

20

GEOMETRY BENCHMARK - SPRING 2007 (4th Six Weeks)

Unpublished Work, Copyright © 2002-2006, Education Service Center Region 10. All Rights Reserved.

Page: 5

STOP

Answer Key

#

Item ID

Key

TEKS

Stimulus

1

MG1050811RX

B

G.5C

-

2

MG1060671RX

D

G.5C

-

3

M0G00049RX

B

G.10B

-

4

M0G00052RX

A

G.10B

-

5

M0G00056RX

A

G.10B

-

6

MG1060819RX

B

G.10B

-

7

MG1060837RX

B

G.10B

-

8

M0G3041976

D

G.11A

-

9

M0G3042002

D

G.11A

-

10

M0G3049728

D

G.11A

-

11

M0G3049884

B

G.11A

-

12

M0G3061871

C

G.11A

-

13

MG1060841RX

B

G.11A

-

14

MG1060853RX

D

G.11A

-

15

MG1060855RX

C

G.11A

-

16

M0G3041996

A

G.11B

-

17

M0G3049928

A

G.11B

-

18

M0G3049929

B

G.11B

-

19

M0G3069947

C

G.11B

-

20

M0G3234231

D

G.11C

-

GEOMETRY BENCHMARK - SPRING 2007 (4th Six Weeks)

Unpublished Work, Copyright © 2002-2006, Education Service Center Region 10. All Rights Reserved.