Honors Geometry Final Study Guide 2013 Solutions and Section References Answer Section 1. ANS: 900 2. ANS: 6300 3. ANS: B 4. ANS: x = 111, y = 64 5. ANS: 45 6. ANS: 110 7. ANS: REF: 6-2 Properties of Parallelograms 8. ANS: 163 REF: 6-2 Properties of Parallelograms 9. ANS: C REF: 6-2 Properties of Parallelograms 10. ANS: rectangle REF: 6-4 Properties of Rhombuses, Rectangles, and Squares 11. ANS: x = 30, y = 60, z = 45 REF: 6-4 Properties of Rhombuses, Rectangles, and Squares 12. ANS: REF: 6-4 Properties of Rhombuses, Rectangles, and Squares [page 1]
13. ANS: 6.5 REF: 6-4 Properties of Rhombuses, Rectangles, and Squares 14. ANS: 154 REF: 6-6 Trapezoids and Kites 15. ANS: 28 REF: 6-6 Trapezoids and Kites 16. ANS: rhombus REF: 6-7 Polygons in the Coordinate Plane 17. ANS: Yes; the sum of the angle measures of a quadrilateral is 360. If all angles are congruent, each angle would have a measure of 90, so the figure would be a parallelogram (a rectangle, in fact). REF: 6-5 Conditions for Rhombuses, Rectangles, and Squares 18. ANS: 14 : 1 19. ANS: 100 20. ANS: 9 and 81 21. ANS: 45 feet 22. ANS: 9 23. ANS: 3 24. ANS: [page 2]
25. ANS: B REF: 7-2 Similar Polygons 26. ANS: ; REF: 7-2 Similar Polygons 27. ANS: no REF: 7-3 Proving Triangles Similar 28. ANS: yes, by AA REF: 7-3 Proving Triangles Similar 29. ANS: REF: 7-4 Similarity in Right Triangles 30. ANS: 42 REF: 7-4 Similarity in Right Triangles 31. ANS: REF: 7-4 Similarity in Right Triangles 32. ANS: 5 REF: 7-5 Proportions in Triangles 33. ANS: 3 REF: 8-1 The Pythagorean Theorem and Its Converse 34. ANS: 106 cm REF: 8-1 The Pythagorean Theorem and Its Converse 35. ANS: 17.6 cm REF: 8-1 The Pythagorean Theorem and Its Converse 36. ANS: no; REF: 8-1 The Pythagorean Theorem and Its Converse [page 3]
37. ANS: right REF: 8-1 The Pythagorean Theorem and Its Converse 38. ANS: 12 2 REF: 8-2 Special Right Triangles 39. ANS: REF: 8-2 Special Right Triangles 40. ANS: 10 m REF: 8-2 Special Right Triangles 41. ANS: x =, y = 40 REF: 8-2 Special Right Triangles 42. ANS: 89.34 43. ANS: 79.02 44. ANS: 4.78 45. ANS: 46. ANS: 15.6 47. ANS: 108.6 m 48. ANS: 3.2 yd [page 4]
REF: 8-4 Angles of Elevation and Depression 49. ANS: 39 REF: 8-4 Angles of Elevation and Depression 50. ANS: 1350 in. 2 REF: 10-1 Areas of Parallelograms and Triangles 51. ANS: 64 cm 2 REF: 10-1 Areas of Parallelograms and Triangles 52. ANS: 8 cm REF: 10-1 Areas of Parallelograms and Triangles 53. ANS: 60 units 2 REF: 10-1 Areas of Parallelograms and Triangles 54. ANS: 303.66 in. 2 REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites 55. ANS: 120 ft 2 REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites 56. ANS: 128 m 2 REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites 57. ANS: 4.8 in. REF: 10-3 Areas of Regular Polygons 58. ANS: 41.6 m 2 REF: 10-3 Areas of Regular Polygons 59. ANS: 2240 cm REF: 10-4 Perimeters and Areas of Similar Figures 60. ANS: 3 : 1 [page 5]
REF: 10-4 Perimeters and Areas of Similar Figures 61. ANS: 139.4 m REF: 10-5 Trigonometry and Area 62. ANS: 392 m REF: 10-5 Trigonometry and Area 63. ANS: REF: 10-6 Circles and Arcs 64. ANS: ; 310 REF: 10-6 Circles and Arcs 65. ANS: 46 cm; 23 cm; 16.6 cm REF: 10-6 Circles and Arcs 66. ANS: REF: 10-7 Areas of Circles and Sectors 67. ANS: REF: 10-7 Areas of Circles and Sectors 68. ANS: [4] Answers may vary. Sample: If a basketball has a circumference of 30, then its diameter is. If the ball goes in exactly in the center of the rim, then there is a total of (18 9.549) inches or 8.551 inches on both sides of the ball. Therefore, there is half of this distance, or about 4.2 inches, between the ball and the rim. [3] correct methods used, but with a computational error [2] error in method [1] correct answer with no work shown REF: 10-6 Circles and Arcs 69. ANS: 15 REF: 11-1 Space Figures and Cross Sections 70. ANS: pentagon [page 6]
REF: 11-1 Space Figures and Cross Sections 71. ANS: 230 m ; 454 m REF: 11-2 Surface Areas of Prisms and Cylinders 72. ANS: 180 cm REF: 11-2 Surface Areas of Prisms and Cylinders 73. ANS: 6660 mm REF: 11-2 Surface Areas of Prisms and Cylinders 74. ANS: 210 in. REF: 11-3 Surface Areas of Pyramids and Cones 75. ANS: 1030 m REF: 11-3 Surface Areas of Pyramids and Cones 76. ANS: 21 m REF: 11-3 Surface Areas of Pyramids and Cones 77. ANS: 54 in. REF: 11-4 Volumes of Prisms and Cylinders 78. ANS: 2.4 in. REF: 11-4 Volumes of Prisms and Cylinders 79. ANS: 1944 cm REF: 11-5 Volumes of Pyramids and Cones 80. ANS: 1,600 m REF: 11-6 Surface Areas and Volumes of Spheres 81. ANS: 3247.1 in REF: 11-6 Surface Areas and Volumes of Spheres 82. ANS: 1 : 2 [page 7]
REF: 11-7 Areas and Volumes of Similar Solids 83. ANS: 80 REF: 12-1 Tangent Lines 84. ANS: 45 REF: 12-1 Tangent Lines 85. ANS: 1,381 miles REF: 12-1 Tangent Lines 86. ANS: 54 REF: 12-1 Tangent Lines 87. ANS: 12.5 REF: 12-2 Chords and Arcs 88. ANS: 71 REF: 12-2 Chords and Arcs 89. ANS: 35 REF: 12-3 Inscribed Angles 90. ANS: 9.5 REF: 12-4 Angle Measures and Segment Lengths 91. ANS: 64 REF: 12-4 Angle Measures and Segment Lengths 92. ANS: 15.4 REF: 12-4 Angle Measures and Segment Lengths 93. ANS: (x + 10) + (y 3) = 4 REF: 12-5 Circles in the Coordinate Plane 94. ANS: [4] a. 25 cm b. 25 r [page 8]
c. Let r + x represent the radius of circle B. x + 24 = 25 ; x = 7; r + 7 = 25 r; r = 9 r + x = 9 + 7 = 16; 16 cm [3] one computational error [2] incomplete work in part c OR correct answers with no work shown [1] only two parts correct REF: 12-1 Tangent Lines 95. ANS: 0.9% REF: 13-1 Experimental and Theoretical Probability 96. ANS: 5 8 REF: 13-1 Experimental and Theoretical Probability 97. ANS: 3 5 REF: 13-1 Experimental and Theoretical Probability 98. ANS: 5 6 REF: 13-1 Experimental and Theoretical Probability 99. ANS: C REF: 13-2 Probability Distributions and Frequency Tables 100. ANS: 24 REF: 13-3 Permutations and Combinations 101. ANS: 120 REF: 13-1 Experimental and Theoretical Probability 102. ANS: 15,120 REF: 13-3 Permutations and Combinations 103. ANS: 70 REF: 13-3 Permutations and Combinations 104. ANS: 0.0288 REF: 13-4 Compound Probability 105. ANS: [page 9]
83% REF: 13-4 Compound Probability 106. ANS: 16 19 REF: 13-4 Compound Probability [page 10]