Answer Section. Honors Geometry Final Study Guide 2013 Solutions and Section References 1. ANS: 900

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1 Honors Geometry Final Study Guide 2013 Solutions and Section References Answer Section 1. ANS: ANS: ANS: B 4. ANS: x = 111, y = ANS: ANS: 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]

2 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 : ANS: ANS: 9 and ANS: 45 feet 22. ANS: ANS: ANS: [page 2]

3 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]

4 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: ANS: ANS: ANS: 46. ANS: ANS: m 48. ANS: 3.2 yd [page 4]

5 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: 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]

6 REF: 10-4 Perimeters and Areas of Similar Figures 61. ANS: 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 ( ) inches or 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]

7 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: in REF: 11-6 Surface Areas and Volumes of Spheres 82. ANS: 1 : 2 [page 7]

8 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]

9 c. Let r + x represent the radius of circle B. x + 24 = 25 ; x = 7; r + 7 = 25 r; r = 9 r + x = = 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: REF: 13-4 Compound Probability 105. ANS: [page 9]

10 83% REF: 13-4 Compound Probability 106. ANS: REF: 13-4 Compound Probability [page 10]

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