Geo Benchmark Fall 2006 2nd six wks

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Name _______________________ Teacher ____________________Date _______________________ Section ____________________Geometry Benchmark - Fall 2006Instructions:Unpublished Work, Copyright © 2002-2006, Education Service Center Region 10. All Rights Reserved.Geometry Benchmark - Fall 20061. 2.The table below shows the relationshipJanell graphed as shown below.between n, the number of sides of a polygon,and s, the sum of the measures of the interiorangles of a polygon.Numberof Sum of Angles (s)Sides(n)3 1804 3605 5406 720n ? What is the slope of a line that isWhich of the following equations could beperpendicular to ?used to represent this relationship?A.A. s = 180nB. s = 180(n - 1)C. s = 180(n - 2)D.B. s = 180(n - 3)3.A building lot in the shape of a rectangle isC. 120 feet long and 90 feet wide. If a fence is tobe constructed along the diagonal of the lot,what would be the length of the fence in feet?A. 120 feetD.B. 140 feetC. 150 feetD. 200 feetPage: 1 GO ONUnpublished Work, Copyright © 2002-2006, Education Service Center Region 10. All Rights Reserved.Geometry Benchmark - Fall 20064. 6.A linen napkin, in the shape of a square, has What is the midpoint of the segment whosesides that are 8 inches long. endpoints have coordinates (-7, 8) and(5, -9)?A. (-12, 17)B. (-1, 0.5)C. (1, -0.5)D. (-1, -0.5)7.What is the area of the figure below?If the napkin is folded along the diagonal,which is closest to the length of the ...

Informations

• Publié par: Mafor
• Nombre de lectures: 48
• Langue: English

Extrait

Name _______________________

Date _______________________

Instructions:

Teacher ____________________

Section ____________________

Geometry Benchmark  Fall 2006

Unpublished Work, Copyright © 20022006, Education Service Center Region 10.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

2. The table below shows the relationship betweenn, the number of sides of a polygon, ands, the sum of the measures of the interior angles of a polygon.

Page: 1 GO ON Unpublished Work, Copyright © 20022006, Education Service Center Region 10. All Rights Reserved.

Geometry Benchmark  Fall 2006

as shown below.

D.

Which of the following equations could be used to represent this relationship? A. s= 180n B. s= 180(n- 1) C. s= 180(n- 2) D. s= 180(n- 3)

C.

Nu mb er of Sum of Angles (s) Sid es (n) 3 180 4 360 5 540 6 720 n ?

3. A building lot in the shape of a rectangle is 120 feet long and 90 feet wide. If a fence is to be constructed along the diagonal of the lot, what would be the length of the fence in feet? A. 120 feet B. 140 feet C. 150 feet D. 200 feet

1. Janell graphed

B.

What is the slope of a line that is perpendicular to ? A.

Geometry Benchmark  Fall 2006

4. A linen napkin, in the shape of a square, has sides that are 8 inches long.

If the napkin is folded along the diagonal, which is closest to the length of the diagonal? A. 4 inches B. 11 inches C. 16 inches D. 32 inches

5. The location of two trees in a city are shown on the map below.

Which is closest to the distance between the two trees? A. 4 units B. 9 units C. 10 units D. 12 units

6. What is the midpoint of the segment whose endpoints have coordinates (-7, 8) and (5, -9)? A. (-12, 17) B. (-1, 0.5) C. (1, -0.5) D. (-1, -0.5)

7. What is the area of the figure below?

A. B. C. D.

square inches

square inches

32 square inches

48 square inches

Page: 2 GO ON Unpublished Work, Copyright © 20022006, Education Service Center Region 10. All Rights Reserved.

Geometry Benchmark  Fall 2006

8. The arm of a steel crane is 62 feet long. When it is fully extended, the crane arm forms a 30 degree angle with a line parallel to the ground.

How many feet above the ground is the top of the crane? A. 31 B. 38 C. D.

9. Muriel plans to make a sail in the shape of a right triangle for her boat.

She wants the largest part of the sail to make a 60-degree angle with the horizontal. How many square meters of material will she need to make the sail? A. B. 7.29 C. D. 14.75

10. Matt wants to design the first section of a roller coaster track. He wants the ramp section to rise at 45° with the horizontal and connect at the top of a segment 100 feet high.

Which of these isx, the length of the ramp Matt needs to complete his section of the coaster track? A.

B.

C.

D.

200

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Geometry Benchmark  Fall 2006

11. has endpointsA(-2, 1) andB(3, 3).

If PointCis graphed such that PointBis the midpoint of then what are the coordinates of PointC? A. (4, 7) B. (5, 8) C. (7, 4) D. (8, 5)

12. The distance between PointA(a,b) and Point C(c,d) can be found by using which of the following formulas? A.

B.

C.

D.

13. Miguel cut the corner off of a large rectangular board. What remained is the shaded portion shown below.

What is the area of the shaded portion of the board? A. 40 ft² B. 72 ft² C. 96 ft² D. 120 ft²

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14. In the figure below, right triangles.

What is the length of A. 20 inches B. 22 inches C. 24 inches D. 25 inches

?

 and

Geometry Benchmark  Fall 2006

are

15. If 21 and 35 are two members of a Pythagorean triple, what is the third member? A. 14 B. 28 C. 56 D. 70

16. If the legs of a 45º-45º-90º triangle have a length of 8 centimeters, what is the perimeter of the triangle? A. 24 cm B. cm C. cm D. cm

17. The table below shows the length of sides of right triangles whose sides are Pythagorean triples.

a 3 5 7 8 9 11

b 4 12 24 15 40 60

c 5 13 25 17 41 61

Which of the following is not a Pythagorean triple? A. 6, 8, 10 B. 9, 12, 15 C. 30, 72, 78 D. 40, 50, 60

18. The measure of the interior angles of selected regular polygons is shown in the table below.

Polygon

Triangle Quadrilateral Pentagon Hexagon

Measure of the Interior Angles (in degrees) 60 90 108 ?

What is the measure of the interior angles of a regular hexagon? A. 138° B. 135° C. 126° D. 120°

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Geometry Benchmark  Fall 2006

19. Which of the following is the symbolic representation for the phrase "seven less than three times a number"? A. 7 - 3n B. 3n- 7 C. 3 - 7n D. 7n- 3

20. The square of Mike's age,m, and the square of Gilbert's age,g, is equal to 3,185. Which expression represents Mike's age? A. B.

C.

D.

21. Kathleen istyears old. Which expression represents David's age if he is 4 times as old as Kathleen? A. B. C. D.

22. Which of the following expressions does not represent the area of the entire figure shown below?

A. B. C. D.

a² +ab a(a+b) a² +b (a+b)a

23. Jill has a gift certificate for a movie rental. Each time she rents a movie, $6 is deducted from her gift certificate balance. Ifm represents the number of movies Jill rents, which of these expressions can be used to determine her gift certificate balance? A. 30m- 6 B. 30m+ 6 C. 30 + 6m D. 30 - 6m

24.

Based on the pattern in the table, how many segments would be determined by a line containing 12 points? A. 12

B.

C.

D.

24

30

66

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Geometry Benchmark  Fall 2006

25. Typically businessmen who greet each other at a meeting shake hands. If a businessman must shake hands with every other person at the meeting, how many handshakes will take place if there are 12 men at a meeting? A. 12

B.

C.

D.

24

30

66

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Item ID

M0G3049730

G.d2C  11M7

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Geometry Benchmark  Fall 2006 Answer Key

Key

C

#

G.e1A  11M8

G.c3A

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G.b1A

TEKS

G.e1C  11M8

G.b1A

G.e1C  11M8

G.c3A

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

G.c1A

G.c3A

G.c1A

G.c3A

G.c3A

G.d2C  11M7

G.d2C  11M7

G.d2C  11M7

G.e1A  11M8

G.c3A

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Stimulus

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19

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Geometry Benchmark  Fall 2006

Key

B

B

C

C

D

D

D

TEKS

A.b3A  9M2, 10M2, 11M2

A.b3A  9M2, 10M2, 11M2

A.b3A  9M2, 10M2, 11M2

A.b3A  9M2, 10M2, 11M2

A.b3A  9M2, 10M2, 11M2

G.b3D

G.b3D

Stimulus

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