[PDF] Chapter 7 Test Form 2C Chapter 7. A27. Glencoe Geometry.





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•Chapter 5 Test Form 2A

5 Test Form 2C (continued). 12. Write the assumption you would make to start an 12x—37 >3x—4; x>3. Chapter 5. 59. Glencoe Geometry. Page 14. NAME. DATE.



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  • Is AC an altitude?

    Altitudes can sometimes coincide with a side of the triangle or can sometimes meet an extended base outside the triangle. In Figure 2, AC is an altitude to base BC , and BC is an altitude to base AC . Figure 2 In a right triangle, each leg can serve as an altitude.
  • Which theorem compares the sides of the same triangle?

    The Hinge theorem states that if two sides of a triangle are congruent, then the triangle with the larger included angle will have the larger third side.
  • In geometry, the hinge theorem (sometimes called the open mouth theorem) states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side

Assessment

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

NAME DATE PERIOD

SCORE

PDF Pass

7

1. Of the 300 television sets sold at an electronics store last

month, 90 were flat-screen TVs. What is the ratio of flat-screen TVs to other TVs sold last month?

2. Determine whether △ABC ∼ △DEF. Justify your answer.

22.5
15 15 10 A B CDE F

3. When a 5-foot vertical pole casts a 3-foot 4-inch shadow, an

oak tree casts a 20-foot shadow. Find the height of the tree.

4. Quadrilateral ABCD ∼ quadrilateral WXYZ, AB = 15,

BC = 27, BC = 27, and the scale factor of WXYZ to

ABCD is

2 3 . Find XY.

5. The blueprint for a swimming pool is 8 inches by 2

1 2 inches. The actual pool is 136 feet long. Find the width of the pool.

6. Find CD.

1.8 2.46 CE G F D

7. If quadrilateral ABCD ∼ quadrilateral PQRS, find BC.

28
10 6.5 R S P QB A C D

8. Is the dilation a similarity

transformation? Verify your answer.

9. △ABC ∼ △XYZ, AB = 12, AC = 16, BC = 20, and XZ = 24.

Find the perimeter of △XYZ.

For Questions 10 and 11, use the figure.

10. Identify the similar triangles.

11. Find the value of x.

15

2x - 4

x 6 P Q R S T 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11.

Chapter 7 Test, Form 2C

Chapter 7 61 Glencoe Geometry

-6-4-2 y x 8 6 4 2 -2

246 810

061_070_GEOCRMC07_890516.indd 61061_070_GEOCRMC07_890516.indd 616/1/09 10:02:41 AM6/1/09 10:02:41 AM

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

NAME DATE PERIOD

PDF Pass

7

12. If △ABC ∼ △PQR and

BM and

QN are medians, find BM.

11 4.4 3.8 ACPR Q B MN

13. The ratio of the measures of the three sides of a triangle is

3:4:6. If the perimeter is 91, find the length of the longest

side.

14. If △RST ∼ △UVW, find m∠W.

15. In △ABC,

AX bisects ∠BAC.

Find the value of x.

16. Find the value of y so that

MN ||

BC .

17. △ABC ∼ △LMN, and

AD and

36
20 8 D A C BMP L N

LP are altitudes. Find AD.

18. Find the value of x.

8 18

2x - 2

13.5

Bonus Find EG.

18 10 12 B F D E G C A 28

4x - 5

2x 8 6 AC X B 12. 13. 14. 15. 16. 17. 18. B:

Chapter 7 Test, Form 2C (continued)

Chapter 7 62 Glencoe Geometry

85°

48°

RT S UW V 18 8y4 y B CA N M

061_070_GEOCRMC07_890516.indd 62061_070_GEOCRMC07_890516.indd 626/17/08 11:19:38 PM6/17/08 11:19:38 PM

Assessment

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

NAME DATE PERIOD

SCORE

PDF Pass

7

1. Of the 112 students in the marching band, 35 were in the

drum section. What is the ratio of drummers to other musicians in the band?

2. Determine whether quadrilateral ABCD ∼ quadrilateral

EFGH. Justify your answer.

A 9 7 1417
98.5
13.5 12 B C D HG F E

3. When a 9-foot tall garden shed cast a 5-foot 3-inch shadow,

a house cast a 28-foot shadow. Find the height of the house.

4. △ABC ∼ △FGH, AB = 24, AC = 16, GH = 9, and FH = 12.

Find the scale factor of △ABC to △FGH.

5. The model of a suspension bridge is 18 inches long and

2 inches tall. If the length of the actual bridge is 1650 feet,

find its height.

6. Find GP.

2.7 3.3 4.5 FH Q G P

7. If △JKL ∼ △PQR,

find the value of x.

8. Is the dilation a similarity

transformation? Verify your answer.

9. △ABC ∼ △PQR, AB = 18, BC = 20, AC = 22, and QR = 25.

Find the perimeter of △PQR.

For Questions 10 and 11, use the figure.

20 x 6 YZ X M N 16

10. Identify the similar triangles.

11. Find MN.

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11.

Chapter 7 Test, Form 2D

Chapter 7 63 Glencoe Geometry

-6-4-2 y x 8 6 4 2 -2

246 810

35
14 6 x JL P Q R K

061_070_GEOCRMC07_890516.indd 63061_070_GEOCRMC07_890516.indd 636/17/08 11:19:42 PM6/17/08 11:19:42 PM

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

NAME DATE PERIOD

PDF Pass

7

12. If △FGH ∼ △LMN and

AF and

BL are medians, find BL.

16.84.8

7.7 FHL M B N G A

13. The ratio of the measures of the three angles of a triangle is

3:4:8. Find the measure of the largest angle.

14. If quadrilateral DEFG ∼ quadrilateral WXYZ, find m∠Y.

EFZW X Y G D

68°85°

82°

125°

15. In △PQR,

QS bisects ∠PQR.

Find the value of x.

16. Find the value of x so that

PQ ||

FH .

17. If △FGH ∼ △JKL, find GX.

XY K FHJL 27
122
1 2 G

18. Find the value of y.

422y
1216

Bonus Find FG.

12. 13. 14. 15. 16. 17. 18. B:

Chapter 7 Test, Form 2D (continued)

Chapter 7 64 Glencoe Geometry

PQ R S

3x - 1

32
40

2x + 3

6 3 3x

2x - 1

FH Q G P 2.8 3.2 4.2 87
A B F G EC D

061_070_GEOCRMC07_890516.indd 64061_070_GEOCRMC07_890516.indd 646/17/08 11:19:49 PM6/17/08 11:19:49 PM

Answers

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Chapter 7 A27 Glencoe Geometry

PDF Pass

Chapter 7 Assessment Answer Key

Form 2C

Page 61 Page 62

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 3:7

Yes; AA

Similarity

30 ft
18

42.5 ft

6.3 18.2 72
△PQR ∼ △STR 2quotesdbs_dbs21.pdfusesText_27
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