GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 1. (2.1-1) A figure is transformed in the plane such that no point maps to itself. What type of transformation must this be? (A) dilation (B) reflection (C) rotation (D) translation For question 2, determine the truth of the statements about rotations. 2. (2.1-2) Under a rotation, no point can map to itself. (A) True (B) False 3. (2.2-1) What term describes a transformation that does not change a figure’s size or shape? (A) similarity (B) isometry (C) collinearity (D) symmetry For questions 4-7, determine if the described transformation(s) is/are an isometry. 4. (2.2-2) A reflection is an isometry. (A) True (B) False 5. (2.2-3) A composition of two reflections is an isometry. (A) True (B) False 6. (2.2-4) A dilation is an isometry. (A) True (B) False 2014-2015 Clark County School District Page 1 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 7. (2.2-5) A composition of a rotation and a dilation is an isometry. (A) True (B) False For question 8, a transformation S is defined as x, y 3x, y 1 . 8. (2.2-6) S is an isometry. (A) True (B) False For questions 9-12, determine if the mapping is an isometry. 9. (2.2-7) x, y x, y 2 is an isometry. (A) True (B) False 10. (2.2-8) x, y x, y is an isometry. (A) True (B) False 11. (2.2-9) x, y y , x (A) True (B) False is an isometry. 12. (2.2-10) x, y 2 x, y is an isometry. (A) True (B) False 2014-2015 Clark County School District Page 2 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 y 13. (2.3-1) Use the figure. A transformation T is defined as x, y x, – y . Which shows the image of figure under T? x y (A) x y (B) x y (C) x 2014-2015 Clark County School District Page 3 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 14. (2.3-2) Which transformation does NOT preserve the orientation of a figure? (A) dilation (B) reflection (C) rotation (D) translation For question 15, determine the truth of the statements about rotations. 15. (2.3-3) Rotations preserve the orientation of a figure. (A) True (B) False For question 16-17, point P is located at (6, 0) and undergoes a transformation. 16. (2.3-4) A rotation of 90° about P results in P = P. (A) True (B) False 17. (2.3-5) A translation by the vector 6, 0 results in P = P. (A) True (B) False y 18. (2.3-6) Use the figure. A (a) Transform ABC by reflecting it across the y-axis to produce ABC . (b) Describe a transformation, or composition of transformations, that maps ABC to DEF . B C F E D x (c) Describe a single transformation that maps ABC to DEF . 2014-2015 Clark County School District Page 4 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 19. ( 2.3-7) ABC is the image of ABC when a reflected about line . A' Construct line B' A B C' C 20. (2.4-1) What is the image of the point (–4, 6) under the transformation T x, y y , x ? (A) (6, 4) (B) (–6, –4) (C) (4, 6) (D) (–4, –6) 21. (2.4-2) A figure is rotated about the origin by 180°, then is translated 4 units right and one unit up. Which describes the results of the two transformations? (A) x, y x 4, y 1 (B) x, y x 4, y 1 (C) x, y y 4, x 1 (D) x, y y 4, x 1 For question 22, a transformation S is defined as x, y 3x, y 1 . 22. (2.4-3) The pre-image of A 3, 6 under S is A 9, 5 . (A) True (B) False 2014-2015 Clark County School District Page 5 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 23. (2.4-4) Given point A is located at (1, 3). What is the final image of A after this series of transformations? (1) Reflect A across the y axis. (2) Translate the image such that x, y x 4, y 2 . (A) (–1, –3) (B) (–3, 5) (C) (–3, –1) (D) (–5, 5) 24. (2.4-5) A reflection about the x axis results in P = P. (A) True (B) False 25. (2.5-1) The point A(4, 3) is rotated –90° about the origin. In which quadrant is A' ? (A) I (B) II (C) III (D) IV m 26. (2.5-2) Use the diagram. k Which series of reflections would result in a rotation of –44° about A? (A) reflect across k¸ then reflect across (B) reflect across ¸ then reflect across k (C) reflect across ¸ then reflect across m (D) reflect across m¸ then reflect across 2014-2015 Clark County School District Page 6 of 37 44° 22° A Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 27. (2.5-3) After a figure is rotated, P P . Which statement(s) could be true? (A) The center of rotation is P. (B) The angle of rotation is a multiple of 360°. (C) Either A or B or both. (D) Neither A nor B. 28. (2.5-4) Draw the image of ABC when rotated 70° about O. O A B C 29. (2.5-5) ABC is the image of ABC when rotated about point O. Construct point O and compute the angle of rotation. 2014-2015 Clark County School District Page 7 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 A C' B B' C A' 30. (2.6-1) Which of these is equivalent to a translation? (A) a reflection across one line (B) a composition of two reflections across intersecting lines (C) a composition of two reflections across parallel lines 31. (2.6-2) In the diagram, g h and B lies on line g. 10cm 5cm B C A g h 2014-2015 Clark County School District Page 8 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 The figure ABC is reflected across line g, and its image is reflected across line h. What is the distance from line g to the final image of point A? (A) 5 cm (B) 15 cm (C) 20 cm (D) 25 cm 32. (2.6-3) A figure is reflected across the line y = 2, then reflected across the line y = 4. Which single transformation results in the same image? (A) a reflection across the line y = 3 (B) a reflection across the line y = 6 (C) a translation 2 units up (D) a translation 4 units up 33. (2.6-4) Point A is the image of point A under a transformation T. Line is the perpendicular bisector of AA at point M. Which describes the transformation T? (A) a reflection across (B) a 90° rotation about M (C) a translation by the vector from A to M (D) a dilation about M with scale factor 2 Forquestions34‐35,usethediagramwhichshowsABChasbeenreflectedacross anunknownline,thenreflectedacrosslinemtoproduceABC. 2014-2015 Clark County School District Page 9 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 y C A B B m x A C 34. (2.6-5) The equation of line is x = –0.5. (A) True (B) False 35. (2.6-6) If ABC were reflected across line m first, then reflected across line to produce ABC, the equation of line would be x = –0.5. (A) True (B) False 36.(2.6‐7)Jimmyisbuildingago‐carttorace.Jimmysitsinaseattowardtheleft rearcornerofthecart.Toseeothercartsbehindhim,hemounts3planemirrors: oneoneachsideofthecartandoneinthecenter. The scale diagram shows a top view of the cart. 2014-2015 Clark County School District Page 10 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 FrontofCart centermirror leftsidemirror rightsidemirror 1foot J Seat (a) Jimmy’s eyes are at point J. The mirrors are mounted in a way that Jimmy does not block his own view. Show the area behind the cart that Jimmy can see using the mirrors. (b) Describe how Jimmy could improve his visibility behind the cart using the same three mirrors. 37. (2.6-8) Draw the image of ABC when reflected across line m. A m B C For questions 38-40, use the diagram showing parallelogram ABCD. 2014-2015 Clark County School District Page 11 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 A E I H D F G C 38. (2.8-1) A reflection across EG carries parallelogram ABCD onto itself. (A) True (B) False 39. (2.8-2) A rotation of 90° about I carries parallelogram ABCD onto itself. (A) True (B) False 40. (2.8-3) A rotation of 180° about I carries parallelogram ABCD onto itself. (A) True (B) False 41. (2.8-4) A regular polygon with n sides is carried onto itself by a positive rotation about its center that is a multiple of 60°, but less than 360°. Which could NOT be the value of n? (A) 3 (B) 4 (C) 5 (D) 6 42. (3.1-1) Look at the figure below. 2014-2015 Clark County School District Page 12 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 Look at these three figures. II III I Which figures are congruent to the first figure? (A) I only (B) II only (C) I and II only (D) I, II, and III For questions 43-45, evaluate whether the image of a figure under the described transformation is congruent to the figure. 43. (3.2-1) A transformation T follows the rule x, y x 3, y . The image of a figure under T is congruent to the figure. (A) True (B) False 44. (3.2-2) A transformation T follows the rule x, y y, x . The image of a figure under T is congruent to the figure. (A) True (B) False 45. (3.2-3) A transformation T follows the rule x, y x, 2 y . The image of a figure under T is congruent to the figure. 2014-2015 Clark County School District Page 13 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 (A) True (B) False 46. (3.2-4) The diagram shows regular hexagon ABCDEF with center O. For each part, fill in the blank. A (a) _____ is the image of A under a 60° rotation about O. (b) The figure is reflected across AD . The pre-image of E is _____. B F E O (c) F is the image of D when the figure is rotated _____° about O. (d) B is first reflected across FC . That image maps to F when reflected across _____. C D 47. (3.3-1) On the coordinate plane, draw triangles ABC and ABC such that: (1) A = A (2) ABC has been rotated 90°. Forquestions48‐50,consideratriangle ABC thathasbeentransformedthrough rigidmotionsanditsimagecomparedto XYZ .Determineifthegiveninformation issufficienttodrawtheprovidedconclusion. 48.(3.4-1) Given Conclusion A X B Y C Z ABC XYZ (A) True (B) False 49. (3.4-2) 2014-2015 Clark County School District Page 14 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 Given Conclusion A X B Y ABC XYZ BC YZ (A) True (B) False 50. (3.4-3) Given A X Conclusion AB XY ABC XYZ BC YZ (A) True (B) False 51. (3.4-4) In the diagram, m is the perpendicular bisector of AB at C, and rm D E . m E D A C B Prove ADC BEC . 52. (3.4-5) In the diagram, DC is the perpendicular bisector of AB . 2014-2015 Clark County School District Page 15 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 D Prove DAB DBA . A C B 53. (3.4-6) Use the diagram. Given: BD AC AE BC Prove: AEC BDC B E F A C D 54. (3.5-1) Use the diagram. Which statement would be used to prove lines r and s are parallel? (A) 1 and 3 are congruent (B) 2 and 7 are complementary (C) 4 and 1 are congruent (D) 8 and 6 are supplementary s r m 3 4 1 2 n 8 7 p 55. (3.5-2) In the diagram, m n and p q . 6 5 q m 2014-2015 Clark County School District Page 16 of 37 Revised October 2014 88° n x° GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 What is the value of x? (A) 44 (B) 88 (C) 92 (D) 176 For questions 56-59, use the diagram where B is the reflection of A across PQ . 56. (3.6-1) PA = PB (A) True (B) False P 57. (3.6-2) PQ AB (A) True (B) False A Q B 58. (3.6-3) AQ = QB (A) True (B) False 59. (3.6-4) PQ 1 AB 2 (A) True (B) False 60. (4.1-1) In ABC , M is the midpoint of AB and N is the midpoint of AC . For which 1 type of triangle is MN BC ? 2 (A) equilateral only (B) isosceles only (C) scalene only (D) any triangle For questions 61-62, consider ABC where AB = BC and mA 40 . 2014-2015 Clark County School District Page 17 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 61. (4.2-1) mB mC 140 (A) True (B) False 62. (4.2-2) mC 100 (A) True (B) False 63. (4.2-3) Prove the sum of the measures of the interior angles of any triangle is 180°. For questions 64-66, use the diagram where ABCD is a quadrilateral with AB CD and AD BC . Diagonals AC and BD intersect at E. A B E C D 64. (4.3-1) CBE ABE (A) True (B) False 65. (4.3-2) ADE ABE (A) True (B) False 66. (4.3-3) CDE ABE (A) True (B) False 67. (4.4-1) Use scalene right triangle ABC. 2014-2015 Clark County School District B Page 18 of 37 Revised October 2014 C A GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 Describe and sketch the transformations required so that the union of the triangle and its image forms (a) a kite. (b) an isosceles triangle. (c) a rectangle. 68. (4.6-1) Use the Venn diagram. Quadrilateral I Parallelogram II Rhombi Squares Rectangles III IV V Trapezoids VI VII Kites A quadrilateral ABCD has 4 lines of symmetry. Identify the area of the diagram in which ABCD resides. (A) III (B) IV (C) V (D) VII 69. (5.1-1) Triangle ABC has vertices A 2, 2 , B 5, 5 , and C 5, 3 . The triangle is dilated about the point 1, 1 with scale factor 4. What is the location of A' ? (A) 8, 8 (B) 10, 10 (C) 11, 5 (D) 14, 6 2014-2015 Clark County School District Page 19 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 70. (5.1-2) Use the diagram. y m x Dilate line m about the origin with scale factor 2. What is the equation of the line’s image? (A) y = 2x + 2 (B) y = 2x + 4 (C) y = 4x + 2 (D) y = 4x + 2014-2015 Clark County School District Page 20 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 71. (5.1-3) Use the diagram. y m P Dilate line m by a factor x 1 about P. Which shows the result of the dilation? 2 y (A) y (B) m' m' P x P y y (C) x (D) m' m' P 2014-2015 Clark County School District x Page 21 of 37 P x Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 72. (5.1-4) In the diagram, segments AB and CD intersect at E, F lies on AB , and mAEC 60 . The two segments are dilated about F with scale 1 factor . What is mAEC ? 2 (A) 30° (B) 60° (C) 90° (D) 120° B D F E 60° A For questions 73-75, use the diagram. C AF E B D G C F Let the figure be dilated with scale factor k, where k 0 and k 1. 73. (5.1-5) mABE k mABE . (A) True (B) False 74. (5.1-6) G' is between B' and F'. (A) True (B) False 2014-2015 Clark County School District Page 22 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 75. (5.1-7) C D k CD (A) True (B) False 76. (5.1-8) Use the figure below. y x Which shows the figure dilated about the origin with scale factor 1.5? y y (A) (B) x x y (C) x 2014-2015 Clark County School District Page 23 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 77. (5.1-9) One vertex of a polygon is A(–4, 5). If the polygon is dilated about the point (0, 2) with scale factor –2, what is the location of A? (A) (–8, 8) (B) (–8, 10) (C) (8, –10) (D) (8, –4) 78. (5.2-1) In the diagram, ABCD is dilated with center O to produce A'B'C'D', and 1 AB AB . A 3 What is OA ? AA (A) 1 3 (B) 1 2 (C) 2 (D) 3 A' D D' O C' B' C B 79. (5.2-2) J(5, 7) is the image of J(3, 3) after a dilation with scale factor 3. Where is the center of dilation? (A) (–3, –9) (B) (0, 0) (C) (2, 1) (D) (4, 5) 2014-2015 Clark County School District Page 24 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 80. (5.2-3) In the diagram, ABC is a dilation of ABC . A A' B' C' B (a) Find the center of dilation O. (b) Compute the scale factor of the dilation. C 81. (5.9-1) Right triangle PQR has sides of length 6 units, 8 units, and 10 units. The triangle is dilated by a scale factor of 4 about point Q. What is the area of triangle P'Q'R'? (A) 96 square units (B) 192 square units (C) 384 square units (D) 768 square units 82. (5.10-1) In the diagram below BC DH . A 4 D 9 H y 8 B C What is the value of y? (A) 13 (B) 18 (C) 27 2014-2015 Clark County School District Page 25 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 83. (5.10-2) The ratio of the side lengths of a triangle is 3:6:8. A second triangle is similar to the first and its shortest side measures 8.0 centimeters. What is the length of the longest side of the second triangle? (A) 3.0 cm (B) 10.7 cm (C) 13.0 cm (D) 21.3 cm 84. (5.11H-1) (HONORS) Triangle ABC has sides of length 3, 6, and 8. Triangle DEF is similar to triangle ABC and has one side with length 24. (a) What are the possible scale factors of the dilation of triangle ABC to triangle DEF? (b) Compute one possible area of triangle DEF. 85. (5.12-1) In the diagram, a student has placed a mirror on level ground, then stands so that the top of a nearby tree is visible in the mirror. What is the height of the tree? (A) 24 m (B) 35 m (C) 41 m (D) 59 m 86. (5.12-2) 2m 3m 36m In the diagram, JG QR . Q J What is the value of x? (A) 11 (B) 6 (C) 5 (D) 3 2014-2015 Clark County School District R Page 26 of 37 P 4 7 x G 8 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 87. (5.12-3) Triangle One has vertices (2, 4), (2, 8), and (5, 4). Triangle Two is similar to Triangle One and has two of its vertices at (–1, 1) and (–7, 1). (a) Draw Triangle One and Triangle Two on the coordinate plane and label the vertices. (b) Draw and label a third triangle that is similar to Triangle One, has two vertices at (–1, 1) and (–7, 1), but is not congruent to Triangle Two. 88. (5.13-1) Which figure contains two similar triangles that are NOT congruent? (A) (B) (C) (D) 89. (5.13-2) Which is NOT a criterion for triangle similarity? (A) angle-angle (B) angle-side-angle (C) side-angle-side (D) side-side 2014-2015 Clark County School District Page 27 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 90. (5.14-1) Sally constructs a triangle where two of the angles measure 50° and 60°. Tom constructs a triangle where two of the angles measure 50° and 70°. What is true about the two triangles? (A) The triangles cannot be similar. (B) The triangles could be similar. (C) The triangles must be similar. 91. (5.14-2) Prove that any two isosceles right triangles are similar. 92. (6.1-1) Use the diagram. C Which is equal to h? (A) ay (B) bx (C) xy (D) ab b a h x y A B D c 93. (6.1-2) In the diagram, ABC is a right triangle with right angle C, and CD is an altitude of ABC . Use the fact that ABC ACD CBD to C prove a 2 b 2 c 2 . b a d e A D c 2014-2015 Clark County School District Page 28 of 37 Revised October 2014 B GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 1 . GH I is a dilation of GHI 2 about G with a scale factor of 2. What is the sine of angle G' ? 94. (6.4-1) In GHI , the sine of angle G equals (A) 1 4 (B) 1 2 3 2 (C) (D) 95. (6.5-1) 1 Let cos A m . What is the value of sin A ? (A) m (B) 1–m (C) 1 m2 (D) 1 m 96. (6.5-2) Use the diagram. B Which statement is true? (A) sin A 13 5 (B) cos A 12 13 (C) 12 tan A 5 13 5 C A 12 C 97. (6.5-3) In the diagram, BC < BD and BD = AD. A Which statement is true? (A) cos ABC sin DAB (B) cos ABC sin DAB (C) cos ABC sin DAB 2014-2015 Clark County School District Page 29 of 37 B D Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 3 98. (6.6-1) What is cos1 ? 2 (A) 30° (B) 45° (C) 60° (D) 90° 99. (6.6-2) What is tan 60°? (A) 2 2 (B) 3 2 (C) 1 3 (D) 3 100. (6.6-3) What is tan 1 1 ? (A) 30° (B) 45° (C) 60° (D) 90° For question 101, use the following statement. Given: An angle measures k°, where k > 0. 101. (6.7-1) sin k cos 90 k (A) True (B) False 102. (6.7-2) In ABC where C is a right angle, sin A 2014-2015 Clark County School District Page 30 of 37 7 . What is cos B? 4 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 (A) 7 4 (B) 7 3 (C) (D) 3 4 3 7 For questions 103-104, let cos x m . 103. (6.7-3) cos 90 x = m (A) True (B) False 104. (6.7-4) sin 90 x = m (A) True (B) False 105. (6.7-5) Let a cos28 . Which statement is true? (A) a cos 62 (B) a cos 152 (C) a sin 62 (D) a sin 152 106. (6.8-1) Use the diagram. 2014-2015 Clark County School District Page 31 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 B 41 A 35° C x Which is the value of x? (A) x 41cos35 (B) x tan 35 41 (C) x 41 cos35 (D) x 41 tan 35 107. (6.8-2) Use the diagram. What is the value of d ? (A) 5 (B) 5 2 (C) 10 (D) 10 2 d 45° 108. (6.10-1) Fred stands at corner A of a rectangular field shown below. He needs to get to corner C. A What is the shortest distance from A to C? (A) 9m (B) 13 m (C) 15 m (D) 21 m 2014-2015 Clark County School District 9m D Page 32 of 37 B 12m C Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 109. (6.10-2) Use the right triangle. What is the value of x? 15 x 8 (A) 7 (B) 161 (C) 7 (D) 17 110. (6.10-3) The diagram shows a model of a closet floor on which Kim is laying carpet. (Measurements are approximate.) (a) What is the area of the closet? 13 (b) The carpet Kim is using is cut by the carpet store in rectangular pieces from a 4-foot wide roll. What is the shortest length of carpet Kim would need to cover the closet floor in a single piece? Justify your answer. 23 145° 145° 36 29 2 2014-2015 Clark County School District Page 33 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 111. (6.15H-1) (HONORS) Consider a triangle ABC. Which statement is true? (A) c 2 a 2 b 2 2 ab cos C (B) c 2 a 2 b 2 2 ab cos C (C) c 2 a 2 b 2 2 ab cos C (D) c 2 a 2 b 2 2 ab cos C 112. (6.15H-2) (HONORS) Use the diagram. A What is cos A ? (A) 16 56 (B) 56 16 (C) 16 56 (D) 56 16 7 4 B C 9 113. (6.16H-1) (HONORS) The diagram shows a surveyor’s map. The surveyor is trying to measure the direct distance between points A and B, which are on opposite sides of a lake. From point C, point A is 950 meters away in a direction 20° west of north. From point C, point B is 880 meters away in a direction 50° east of north. Which represents the distance between A and B? (A) B 950m 20° (B) 880 950 sin 50 sin 20 (C) 950 sin 70 sin 55 50° 880m 950 2 8802 2 950 880 cos 70 2014-2015 Clark County School District A C Page 34 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 114. (6.16H-2) (HONORS) A small airplane flies due north at 150 kilometers per hour. A wind is blowing towards the direction 60° east of north at 50 kilometers per hour. Which figure represents the final speed and direction of the airplane? (A) N (B) N (C) N (D) N For questions 115-117, consider a triangle ABC and each given set of measurements. 115. (6.16H-3) (HONORS) AB, AC, and mA are sufficient to solve the triangle using the Law of Sines. (A) True (B) False 116. (6.16H-4) (HONORS) AB, AC, and mB are sufficient to solve the triangle using the Law of Sines. (A) True (B) False 117. (6.16H-5) (HONORS) AB, AC, and BC are sufficient to solve the triangle using the Law of Sines. (A) True (B) False 2014-2015 Clark County School District Page 35 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 118. (6.16H-6) (HONORS) Given: cos 26 0.90 and sin 26 0.44 What is the approximate value of cos 154 ? (A) –0.90 (B) –0.44 (C) 0.44 (D) 0.90 For questions 119-120 use the statement below. Given: An angle measures k°, where k > 0. 119. (6.16H-7) (HONORS) sin k sin 180 k (A) True (B) False 120. (6.16H-8) (HONORS) cos k cos 180 k (A) True (B) False For question 121, let cos x m . 121. (6.16H-9) (HONORS) cos 180 x = m (A) True (B) False 122. (6.16H-10) (HONORS) In triangle ABC, mB 25 , a = 6.2, and b = 4. Find all possible measures of the remaining two angles and the third side. 123. (6.16H-11) (HONORS) In triangle ABC, mB 25 , a = 6.2, and c = 4. (a) Find all possible measures of the remaining two angles and the third side. (b) Findallpossibleareasofthetriangle 2014-2015 Clark County School District Page 36 of 37 Revised October 2014 GEOMETRY 2014-2015 SEMESTER EXAMS PRACTICE MATERIALS SEMESTER 1 124. (6.18H-1) (HONORS) The diagram shows a parallelogram ABCD. B C 5 60° A D 3 What is the parallelogram’s area? (A) 7.5 3 (B) 15 (C) 15 3 (D) 30 3 125. (6.18H-2) (HONORS) In the diagram, ABC is a non-right triangle. C b a B A c Which describes the area of the triangle? (A) 1 ab 2 (B) ab sin C (C) 1 ab sin C 2 (D) 1 ab cos C 2 2014-2015 Clark County School District Page 37 of 37 Revised October 2014
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