# Geometry Final Exam REVIEW

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1 Name: Class: _ Date: _ Geometry Final Exam REVIEW Multiple Choice Identify 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; yd 2 c. 32 yd; yd 2 b. 64 yd; yd 2 d. 32 yd; yd 2 2. Find the area of the figure. Round to the nearest tenth if necessary. a mm 2 c mm 2 b mm 2 d mm 2 3. Find the area of the figure. Round to the nearest tenth if necessary. a. 165 m 2 c. 161 m 2 b. 330 m 2 d. 173 m 2 1

2 Name: 4. Find the area of the figure. Round to the nearest tenth if necessary. a. 920 cm 2 c. 460 cm 2 b cm 2 d. 86 cm 2 5. Find the area of a circle having a circumference of 20p. Round to the nearest tenth. Use 3.14 for pi. a. 314 units 2 c units 2 b units 2 d. 628 units 2 Find the area of the figure. Round to the nearest tenth if necessary. 6. a units 2 c units 2 b units 2 d units 2 7. a units 2 c units 2 b units 2 d units 2 2

3 Name: Identify the solid. 8. a. cylinder c. cone b. pyramid d. prism 9. a. cone c. cylinder b. sphere d. prism Name the vertices of the solid. 10. a. P, Q, R, and S c. T b. P, Q, R, S and T d. P, S, and T 3

4 Name: 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 a. 136 units 2 c. 152 units 2 b. 140 units 2 d. 164 units 2 a. 586 units 2 c. 456 units 2 b. 552 units 2 d. 360 units 2 4

5 Name: 14. a units 2 c units 2 b units 2 d units 2 Find the surface area of the cylinder. Use 3.14 for pi and round your answer to the nearest tenth. 15. a ft 2 c ft 2 b ft 2 d ft 2 Find the surface area of the regular pyramid. Round to the nearest tenth if necessary. 16. a cm 2 c cm 2 b cm 2 d cm 2 5

6 Name: 17. Find the surface area of the sphere. Use 3.14 for p. Round to the nearest tenth. a in 2 c in 2 b in 2 d. 196 in 2 Find the volume of the prism. Round to the nearest tenth if necessary. 18. a. 99 in 3 c. 36 in 3 b. 162 in 3 d. 126 in a in 3 c in 3 b in 3 d in 3 6

7 Name: Find the volume of the cylinder. Use 3.14 for p. Round to the nearest tenth. 20. a ft 3 c ft 3 b ft 3 d ft 3 Find the volume of the pyramid. Round to the nearest tenth if necessary. 21. a. 15,120 ft 3 c ft 3 b ft 3 d. 15,498 ft 3 Find the volume of the cone. Use 3.14 for p. Round to the nearest tenth. 22. a yd 3 c yd 3 b yd 3 d yd 3 7

8 Name: 23. Find the volume of the sphere. Use 3.14 for p. Round to the nearest tenth. a cm 3 c cm 3 b. 1,928.4 cm 3 d. 2,571.1 cm 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 cm 3 c cm 3 b cm 3 d. 9.2 cm 3 Determine whether the pair of solids are similar, congruent, or neither. Figures are not necessarily drawn to scale. 25. a. similar c. neither b. congruent d. cannot be determined 8

9 Name: 26. a. similar c. neither b. 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 a 3 :b 3. a. sometimes c. never b. always 28. Find the geometric mean between each pair of numbers. 21 and 16 a c b. 37 d Find x. a. 221 c. 19 b d 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, 13 a. yes, no c. no, yes b. no, no d. yes, yes 9

10 Name: 31. Find x and y. 32. Find x and y. a. x = 30!, y = 14.4 c. x = 45!, y = b. x = 45!, y = 14.4 d. x = 30!, 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 = 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 A a c b d 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 c b d 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 c b d Find the measure of each interior angle for a regular triangle. Round to the nearest tenth if necessary. a. 120 c. 360 b. 180 d

11 Name: 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. 360 b. 30 d Refer to parallelogram ABCD to answer to following questions. 38. What is the length of segment AK? a. 34 c. 3 2 b 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. 11

12 Name: Quadrilateral ABCD is a rectangle. 41. If AG = -5j and DG = j + 72, find BD. a. 154 c. 5 b d If ADB = 5x + 78 and CDB = 5x + 62, find CBD. a. 53 c. 5 b. 37 d In rhombus STUV, if m STV = 17, find m TUS. a. 17 c. 146 b. 73 d For trapezoid JKLM, A and B are midpoints of the legs. Find ML. a c. 20 b d

13 Name: 45. For trapezoid JKLM, A and B are midpoints of the legs. Find AB. a. 50 c. 14 b. 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 = yd c. d = 15.8 yd, C = yd b. d = 3.95 yd, C = yd d. d = 3.95 yd, C = yd 47. Find the exact circumference of the circle. a. 8p 2 in c. 32p 2 in b. 16p 2 in d. 16p in 13

14 Name: Use the diagram to find the measure of the given angle. 48. m FAE a. 50 c. 60 b. 40 d. 30 Use the diagram to find the measure of the given angle. 49. SRT a. 85 c. 50 b. 20 d

15 Name: 50. In ño, EC and AB are diameters, and FOA. Find m!arc!df. a. 90 c. 180 b. 360 d In ña, AF and AE!=!10. Find meg. a. 10 c. 14 b. 16 d

16 Name: 52. If m 1!=!3x!+!2, m 2!=!5x, find m 1. a. 55 c. 35 b. 58 d In ñd, CB and m arc CE = 52. Find m BCE. a. 111 c. 109 b. 83 d

17 Name: 54. Find x. Assume that segments that appear tangent are tangent. a. 36 c. 11 b. 31 d Find x. Assume that segments that appear tangent are tangent. a. 11 c. 8 b. 13 d. 6 17

18 Name: Find x. Round to the nearest tenth if necessary. 56. a c. 3.2 b. 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. 3 b. 2 d. 8 18

19 Name: x 2 + y 2 = 49 a. 3 c. 2 b. 7 d. 4 a. c. b. d. 19

20 Name: 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 =

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