Name: ______________________ Class: _________________ Date: _________ ID: D

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Geometry Final Exam 09-10 - REVIEW

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

____ 1. Find the perimeter and area of the parallelogram. Round to the nearest tenth if necessary.

a. 64 yd; 169.7 yd2

c. 32 yd; 218.2 yd2

b. 64 yd; 218.2 yd2

d. 32 yd; 169.7 yd2

____ 2. Find the area of the figure. Round to the nearest tenth if necessary.

a. 23.8 mm2

c. 47.6 mm2

b. 21.4 mm2

d. 20.3 mm2

____ 3. Find the area of the figure. Round to the nearest tenth if necessary.

a. 165 m2

c. 161 m2

b. 330 m2

d. 173 m2

Name: ______________________ ID: D

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____ 4. Find the area of the figure. Round to the nearest tenth if necessary.

a. 920 cm2

c. 460 cm2

b. 1840 cm2

d. 86 cm2

____ 5. Find the area of a circle having a circumference of 20p. Round to the nearest tenth. Use 3.14 for pi.a. 314 units2 c. 278.7 units2

b. 254.7 units2 d. 628 units2

Find the area of the figure. Round to the nearest tenth if necessary.

____ 6.

a. 764.7 units2 c. 249.7 units2

b. 366.7 units2 d. 300.3 units2

____ 7.

a. 57.1 units2 c. 47.3 units2

b. 66.2 units2 d. 41.1 units2

Name: ______________________ ID: D

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Identify the solid.

____ 8.

a. cylinder c. coneb. pyramid d. prism

____ 9.

a. cone c. cylinderb. sphere d. prism

Name the vertices of the solid.

____ 10.

a. P, Q, R, and S c. Tb. P, Q, R, S and T d. P, S, and T

Name: ______________________ ID: D

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Name the edges of the solid.

____ 11.

a. AB, AD, BC, CD, AE, BF, CG, DH, EF, FG, GH, and EH

b. AB, AD, BC, and CD

c. EF, FG, GH, and EH

d. AE, BF, CG, and DH

Find the surface area of each prism. Round to the nearest tenth if necessary while doing your calculations as well as in your final answer.

____ 12.

a. 136 units2 c. 152 units2

b. 140 units2 d. 164 units2

____ 13.

a. 586 units2 c. 456 units2

b. 552 units2 d. 360 units2

Name: ______________________ ID: D

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____ 14.

a. 163.8 units2 c. 216.8 units2

b. 192.8 units2 d. 245.8 units2

Find the surface area of the cylinder. Use 3.14 for pi and round your answer to the nearest tenth.

____ 15.

a. 260.1 ft2

c. 455.8 ft2

b. 276.3 ft2

d. 175.8 ft2

Find the surface area of the regular pyramid. Round to the nearest tenth if necessary.

____ 16.

a. 320.0 cm2

c. 220.0 cm2

b. 440.0 cm2

d. 1100.0 cm2

Name: ______________________ ID: D

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____ 17. Find the surface area of the sphere. Use 3.14 for p. Round to the nearest tenth.

a. 4308.1 in2

c. 615.4 in2

b. 153.9 in2

d. 196 in2

Find the volume of the prism. Round to the nearest tenth if necessary.

____ 18.

a. 99 in3 c. 36 in3

b. 162 in3 d. 126 in3

____ 19.

a. 473.1 in3 c. 269.4 in3

b. 385.0 in3 d. 770.0 in3

Name: ______________________ ID: D

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Find the volume of the cylinder. Use 3.14 for p. Round to the nearest tenth.

____ 20.

a. 460.8 ft3 c. 241.2 ft3

b. 1446.9 ft3 d. 5787.6 ft3

Find the volume of the pyramid. Round to the nearest tenth if necessary.

____ 21.

a. 15,120 ft3 c. 5040 ft3

b. 5166 ft3 d. 15,498 ft3

Find the volume of the cone. Use 3.14 for p. Round to the nearest tenth.

____ 22.

a. 753.6 yd3 c. 3014.4 yd3

b. 1004.8 yd3 d. 251.2 yd3

Name: ______________________ ID: D

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____ 23. Find the volume of the sphere. Use 3.14 for p. Round to the nearest tenth.

a. 642.8 cm3 c. 302.5 cm3

b. 1,928.4 cm3 d. 2,571.1 cm3

____ 24. Suppose a spherical snowball with a diameter of 6 centimeters is melted in a large bowl. The resulting water is then poured into a cone-shaped paper cup that is 10 centimeters deep and has a diameter of 6 centimeters. The water overflows the paper cup, as the volume of the snowball turns out to be more than that of the paper cup. How much greater is the snowball’s volume than that of the cone-shaped

cup? Use 3.14 for p and round your answer to the nearest tenth.

a. 527.5 cm3 c. 29.3 cm3

b. 18.8 cm3 d. 9.2 cm3

Determine whether the pair of solids are similar, congruent, or neither. Figures are not necessarily drawn to scale.

____ 25.

a. similar c. neitherb. congruent d. cannot be determined

Name: ______________________ ID: D

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____ 26.

a. similar c. neitherb. congruent d. cannot be determined

Determine whether each statement is sometimes, always, or never true.

____ 27. If the scale factor of two similar solids is a:b, then the ratio of their volumes is a3:b3.a. sometimes c. neverb. always

____ 28. Find the geometric mean between each pair of numbers.21 and 16

a. 18.5 c. 4 21

b. 37 d. 336

____ 29. Find x.

a. 221 c. 19

b. 3 19 d. 9

____ 30. Determine whether the set of numbers can be the measures of the sides of a right triangle. Then state whether they form a Pythagorean Triple.12, 5, 13a. yes, no c. no, yesb. no, no d. yes, yes

Name: ______________________ ID: D

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____ 31. Find x and y.

a. x = 30!, y = 14.4 c. x = 45!, y = 14.4 2

b. x = 45!, y = 14.4 d. x = 30!, y = 14.4 2

____ 32. Find x and y.

a. x = 17 3 , y = 17 c. x = 17, y = 17 3

b. x = 8.5 3 , y = 8.5 d. x = 8.5, y = 8.5 3

____ 33. Use the figure to find the trigonometric ratio below. Express the answer as a decimal rounded to the nearest ten-thousandth.

AC = 13 2 , CB = 5 2 , AD = 17, CD = 7, DB = 1

tan Aa. 2.4286 c. 0.4118b. 7.0000 d. 0.9247

____ 34. Pat was flying a kite when the string broke and the kite fell to the ground. Pat is 36 yards lower than the kite. The distance from Pat to the kite is 200 yards. What is the angle of elevation?a. 10.2° c. 79.6°b. 10.4° d. 79.8°

____ 35. After flying at an altitude of 600 meters, a hot air balloon starts to descend when its ground distance from the landing pad is 10 kilometers. What is the angle of depression for this part of the flight?a. 0.95° c. 86.57°b. 3.43° d. 89.05°

____ 36. Find the measure of each interior angle for a regular triangle. Round to the nearest tenth if necessary.a. 120 c. 360b. 180 d. 60

Name: ______________________ ID: D

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____ 37. Find the measure of an exterior angle of a regular polygon with 12 sides. Round to the nearest tenth if necessary.a. 150 c. 360b. 30 d. 1800

Refer to parallelogram ABCD to answer to following questions.

____ 38. What is the length of segment AK?

a. 34 c. 3 2

b. 2 34 d. 6 2

Determine whether the quadrilateral is a parallelogram. Justify your answer.

____ 39.

a. no; Opposite angles are congruent.b. no; Consecutive angles are not congruent.c. yes; Consecutive angles are not congruent.d. yes; Opposite angles are congruent.

Determine whether a figure with the given vertices is a parallelogram. Use the method indicated.

____ 40. A(-9, - 4), B(-4, - 1), C(6, 9), D(1, 6); Slope Formula

a. yes; The opposite sides have the same slope.b. no; Opposite sides are the same length.c. yes; Opposite sides are the same length.d. no; The opposite sides have the same slope.

Name: ______________________ ID: D

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Quadrilateral ABCD is a rectangle.

____ 41. If AG = -5j+ 102 and DG = j+ 72, find BD.

a. 154 c. 5b. 38.5 d. 77

____ 42. If –ADB = 5x+ 78 and –CDB = 5x+ 62, find –CBD.a. 53 c. –5b. 37 d. 45

____ 43.

In rhombus STUV, if m–STV = 17, find m–TUS.a. 17 c. 146b. 73 d. 34

____ 44. For trapezoid JKLM, A and B are midpoints of the legs. Find ML.

a. 59.5 c. 20b. 29.75 d. 6.5

Name: ______________________ ID: D

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____ 45. For trapezoid JKLM, A and B are midpoints of the legs. Find AB.

a. 50 c. 14b. 25 d. 46

The radius, diameter, or circumference of a circle is given. Find the missing measures. Round to the nearest hundredth if necessary.

____ 46. r!=!7.9 yd, d!=! ? , C!=! ? a. d = 15.8 yd, C = 49.64 yd c. d = 15.8 yd, C = 24.82 ydb. d = 3.95 yd, C = 49.64 yd d. d = 3.95 yd, C = 24.82 yd

____ 47. Find the exact circumference of the circle.

a. 8p 2 in c. 32p 2 in

b. 16p 2 in d. 16p in

Name: ______________________ ID: D

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Use the diagram to find the measure of the given angle.

____ 48. m–FAEa. 50 c. 60b. 40 d. 30

Use the diagram to find the measure of the given angle.

____ 49. –SRTa. 85° c. 50°b. 20° d. 95°

Name: ______________________ ID: D

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____ 50. In ñO, EC and AB are diameters, and –BOD @ –DOE @ –EOF @ –FOA.

Find m!arc!DF.a. 90 c. 180b. 360 d. 225

____ 51. In ñA, AC @ AF and AE!=!10.

Find mEG.a. 10 c. 14b. 16 d. 12

Name: ______________________ ID: D

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____ 52.

If m–1!=!3x!+!2, m–2!=!5x, find m–1.a. 55 c. 35b. 58 d. 37

____ 53. In ñD, AB @ CB and m arc CE = 52. Find m–BCE.

a. 111 c. 109b. 83 d. 129

Name: ______________________ ID: D

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____ 54. Find x. Assume that segments that appear tangent are tangent.

a. 36 c. 11b. 31 d. 71

____ 55. Find x. Assume that segments that appear tangent are tangent.

a. 11 c. 8b. 13 d. 6

Name: ______________________ ID: D

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Find x. Round to the nearest tenth if necessary.

____ 56.

a. 10.5 c. 3.2b. 2.4 d. 3.5

Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.

____ 57.

a. 9 c. 3b. 2 d. 8

Name: ______________________ ID: D

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____ 58.

a. 3 c. 2b. 7 d. 4

____ 59. x2+ y

2= 49

a. c.

b. d.

Name: ______________________ ID: D

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____ 60. Write an equation for a circle with center at (10, –6) and diameter!=!20.

a. (x- 10)2+ (y+ 6)

2= 100 c. (x+ 10)

2+ (y- 6)

2= 400

b. (x+ 10)2+ (y- 6)

2= 100 d. (x- 10)

2+ (y+ 6)

2= 400