1. Use. What are the vertices of A.,, B.,, C.,, D.,,


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1 1. Use. What are the vertices of A.,, B.,, C.,, D.,, 2. Given, how are the distances to the origin from each image point related to the distance to the origin from each corresponding preimage point? A. Each image point is 0.5 times as far from the origin as the corresponding preimage point. B. Each image point is 0.75 times as far from the origin as the corresponding preimage point. C. Each image point is 1.0 units as far from the origin as the corresponding preimage point. D. Each image point is 1.5 times as far from the origin as the corresponding preimage point. 3. Are the polygons similar? If they are, write a similarity statement and give the scale factor. In QRS, QR = 4, RS = 15, and m R = 36. In UVT, VT = 8, TU = 32, and m T = 36. A. ; C. ; B. ; D. The triangles are not similar. 4. Are the two triangles similar? How do you know? A. yes, by SAS C. yes, by AA B. yes, by SSS D. no 5. Are the two triangles similar? How do you know? A. ; SAS C. ; SSS B. ; SAS D. The triangles are not similar. 6. Are the two triangles similar? How do you know? A. ; SAS B. ; SAS C. ; SSS D. The triangles are not similar. Page 1
2 7. What is the value of x, given that? A. 12 B. 6 C. 20 D A triangle has sides of lengths 27, 79, and 84. Is it a right triangle? Explain. A. yes; C. yes; B. no; D. no;. 9. Find the value of the variable. Leave an exact answer. A. B. 7 C. D. 10. Find the lengths of the missing sides in the triangle. Leave an exact answer. A. x = 8, y = 8 2 B. x = 8 2, y = 8 C. x = 8, y = 4 2 D. x = 4 2, y = Find x and y. A. x =, y = 11 C. x = 22, y = B. x =, y = 22 D. x = 11, y = 12. Find the value of x. A. B. C. D. 13. Write the tangent ratios for and. A. C. B. D. 14. Find the value of x. A. 6.2 cm B cm C cm D cm Page 2
3 15. Find the value of x. Round to the nearest tenth. A B. 8.1 C. 8.2 D Find the value of x. Round to the nearest tenth. A. 67 B. 23 C. 83 D Find the value of x. Round to the nearest tenth. A. 6.5 ft B. 4.7 ft C. 9.9 ft D. 5.8 ft 18. To find the height of a pole, a surveyor moves 140 feet away from the base of the pole and then, with a transit 4 feet tall, measures the angle of elevation to the top of the pole to be 44. To the nearest foot, what is the height of the pole? A. 145 ft B. 149 ft C. 135 ft D. 139 ft 19. The vertices of are J( 2, 3), K(1, 6), and L(5, 1). Which type of triangle best describes? A. right isosceles C. right scalene B. nonright isosceles D. nonright scalene 20. Given a parallelogram, which of the following plans will prove it's a rhombus? A. Use slope to show both pairs of opposite sides are congruent B. Use distance to show that all sides are congruent C. Use distance to show that both pairs of opposite sides are parallel D. Use slope to show that both pairs of opposite sides are parallel 21. Write an equation of a circle with the given center and radius: center (6, 4) and radius 7 A. C. B. D. Page 3
4 22. Write the standard equation of the circle in the graph. A. (x + 3) + (y 2) = 9 C. (x 3) + (y + 2) = 18 B. (x 3) + (y + 2) = 9 D. (x + 3) + (y 2) = Find the center and radius of the circle with equation (x + 3) + (y + 7) = 9. A. center ( 3, 7); r = 3 C. center (7, 3); r = 3 B. center (3, 7); r = 9 D. center ( 3, 7); r = Which point is on a circle with a center at (2, 2) and a radius of? A. (7, 4) C. (7, 8) B. (3, 4) D. (3, 8) 25. Which point is on a circle with center ( 3, 4) and radius 5? A. (6, 0) C. (6, 8) B. (0, 0) D. ( 1, 1) 26. What is the graph of the equation? A. C. B. D. Page 4
5 27. Which if the following is not a major arc? A. BCA B. CDB C. AB D. ABD 28. Find the measure of. The figure is not drawn to scale. A. 188 B. 182 C. 162 D Find the length of XY. Leave your answer in terms of. A. 30 m B. 15 m C. 5 m D. 900 m 30. Find the area of a sector with a central angle of 170 and a diameter of 9.1 cm. Round to the nearest tenth. A cm 2 B cm 2 C. 8.6 cm 2 D. 3.4 cm An arc on a circle with radius 12 has an arc length of 2. What is the measure of the corresponding central angle? A. 15 B. 180 C. 30 D Assume that lines that appear to be tangent are tangent. O is the center of the circle 135. Find the value of x. A. 45 B C. 315 D Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale. A B C. 125 D Page 5
6 34. Which statement is NOT true? is a diameter, and. A. C. B. D. 35. Find m BAC in circle O. (The figure is not drawn to scale.) A. 170 B. 95 C D Find the measure of BAC in circle O. (The figure is not drawn to scale.) A. 50 B. 80 C. 20 D is tangent to circle O at A. If, what is m YAC? A. 132 B. 48 C. 78 D Which is a possible cross section of a cylinder? I. hexagon II. circle or oval shape III. rectangle A. II only C. II and III B. I and II D. I, II, and III 39. Rebecca wants to demonstrate how you can rotate a twodimensional polygon to create a cylinder. Which polygon could she use? A. oval shape C. square B. circle D. triangle Page 6
7 40. Find the volume of the given prism. Round to the nearest tenth if necessary. A. 17 m B. 34 m C. 8.5 m D. 1 m 41. Find the volume of the cylinder in terms of. A m B m C m D m 42. Find the volume of the composite space figure to the nearest whole number. A. 170 cm B. 180 cm C. 120 cm D. 60 cm 43. According to Cavalieri's Principle, which properties need to be the same for different threedimensional figures to have the same volume? I. shape II. Height III. base area A. II only C. II and III B. I and II D. I, II, and III 44. Find the volume of the oblique cone shown in terms of. A in. B in. C. 63 in. D. 441 in. Page 7
8 45. Find the volume of the right cone shown as a decimal rounded to the nearest tenth. A yd B yd C yd D yd 46. A coneshaped section is cut out of a cubic block of wood as shown. What is the volume of wood left after the cone is removed? Round to the nearest tenth. A in. C in. B in. D in. 47. What is the approximate volume of the sphere shown? Round to the nearest tenth. A ft C ft B ft D ft 48. Use Euler's Formula to find the missing number. Vertices: 11 Edges: 34 Faces:? A. 25 B. 28 C. 26 D A baseball has a volume of cubic centimeters. It has a density of 0.66 g/cm3. What is the mass of the baseball? Round to the nearest tenth. A g B g C g D g Page 8
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