mandatory for Pre-AICE Geometry & Geometry Honors students
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1 Name: Geometry Summer Packet Welcome to the study of Geometry! You have an opportunity this summer to help strengthen your skills. Please read the information below carefully. Also, please note that this packet is mandatory for Pre-AICE Geometry & Geometry Honors students. It will be counted as extra credit for standard Geometry (no honors designation) students. Keep your packet in a folder that has clips (duo-tang folder). Your work should be neat and legible. Show all work on the hand-out. Purple Math is a great site and will provide you with examples and lessons to help you complete assignments. You can also search topics in Google or YouTube for other help. Don t buy anything; there is plenty of free help out there on the web. ****Remember that in every mathematics class, showing all work completely for every problem is a requirement. Not showing your work in mathematics is similar to not writing your Language Arts assignments in complete sentences. **** You will need the following materials starting your very first day: Geometry summer packet loose leaf paper graph paper pencils erasers calculator any other materials on your teacher s syllabus The booklet containing your packet should be ready to turn in the first day of class. Come to class prepared to start working! A scientific calculator is a must for geometry. Please purchase one of the five following calculators that are approved to use on the Geometry FSA: Texas Instruments TI-30Xa Casio fx-260 solar Casio fx-82 solar Sharp EL-510R Sharp EL-510RN NOTE: These will be the only calculators you will be permitted to use in Geometry this year. The geometry teachers look forward to seeing you next August!
2 Topic 1: Simplifying Square Roots (Remember to show all work & all calculations) # 1 12: Simplify each radical by hand
3 Topic 2: Classifying Angles (Remember to show all work & all calculations) # 13 40: Classify each angle as acute, obtuse, right, or straight Angle measuring Angle measuring Angle measuring Angle measuring Angle measuring Angle measuring Angle measuring Angle measuring Angle measuring Angle measuring Angle measuring Angle measuring Angle measuring Angle measuring 74
4 Topic 3: The Midpoint Formula (Remember to show all work & all calculations) # 41 44: Find the midpoint of each line segment # 45 50: Find the midpoint of the line segment with the given endpoints. 45. (-4, 4) and (5, -1) 46. (2, 4) and (1, -3) 47. (5, 2) and (-4, -3) 48. (2, -1) and (-6, 0) 49. (-5.1, -2) and (1.4, 1.7) 50. (5.1, -2) and (6, 3.6) # 51 53: Find the other endpoint of the line segment with the given endpoint and midpoint. 51. Endpoint: (-1, 9); midpoint: (-9, -10) 52. Endpoint: (5, 2); midpoint: (-10, -2)
5 53. Endpoint: (-9, 7); midpoint: (10, -3) 54. Find the point that is one-fourth of the way from (2, 4) to (10, 8) Topic 4: Solving Proportions (Remember to show all work & all calculations) # 55 58: Solve each proportion. Leave your answer as a fraction in simplest form = 4 p 56. n 4 = m 5 = = 5 x # 59 60: Solve each proportion. Round your answers to the nearest hundredth = = b x 9.3 # 61 66: Solve each proportion. Leave your answer as a fraction in simplest form = k = p+2 3
6 63. m = m = r 10 4 r 65. n 9 n+5 = = v 9 3 7v+4 Topic 5: Circumference and Area of Circles (Remember to show all work & all calculations) # 67 74: Find the area of each. Use your calculator s value of π. Round your answer to the nearest tenth Radius = 2.6 in 72. Radius = 34.1 in 73. Radius = 12.3 km 74. Radius = 29.9 km
7 # 75 82: Find the circumference of each circle. Use your calculator s value of π. Round your answer to the nearest tenth Radius = 5.2 ft 80. Radius = 11.1 ft 81. Radius = 9.5 in 82. Radius = 9.3 in # 83 86: Find the radius of each circle. Use your calculator s value of π. Round your answer to the nearest tenth. 83. Circumference = 62.8 mi 84. Circumference = 69.1 yd 85. Circumference = 12.6 yd 86. Circumference = 25.1 ft
8 # 87 & 88: Find the diameter of each circle. Use your calculator s value of π. Round your answer to the nearest tenth. 87. Area = in Area = 78.5 ft 2 # 89 & 90: Find the circumference of each circle. 89. Area = 64π mi Area = 16π in 2 # 91 & 92: Find the area of each circle. 91. Circumference = 6π yd 92. Circumference = 22π in
9 Topic 6: The Distance Formula (Remember to show all work & all calculations) # : Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary
10 96. (-2, 3) and (-7, -7) 97. (5, 9) and (-7, -7) 98. (-10, -7) and (-8, 1)
11 (0, -2) and (-5, -1)
12 103. (3, 8) and (9, 10) 104. (-8, 10) and (-6, 7) Topic 7: Graphing Lines (Remember to show all work & all calculations) # : Sketch the graph of each line y = 7 2 x y = 6x y = y = 6 5 x y = 1 4 x x = 5
13 111. y = 5 3 x 112. x = y = 1 3 x y = 1 5 x y = 1 2 x y = 2x + 5 Topic 8: Multi-Step Equations (Remember to show all work & all calculations) # : Solve each equation = 4x 6x = 1 2n x 2 = 9 + 7x 120. a + 5 = 5a m 4 = 4m 122. p 1 = 5p + 3p 8
14 123. 5p 14 = 8p p 4 = 9 + p = (x + 4) = 4( 6x 3) = (p 8) 128. (7 4x) = k = 6(1 + 3k) n + 34 = 2(1 7n)
15 131. 2(4x 3) 8 = 4 + 2x n 5 = 8(6 + 5n) 133. (1 + 7x) 6( 7 x) = (4x + 3) + 4(6x + 1) = a 22 = 4(1 6a) (1 5x) + 5( 8x 2) = 4x 8x
16 Topic 9: Area of Triangles and Quadrilaterals (Remember to show all work & all calculations) # : Find the area of each
17
18 Topic 10: Finding Slope from Two Points (Remember to show all work & all calculations) # : Find the slope of the line through each pair of points (19, -16) and (-7, -15) 157. (-4, 7) and (-6, -4) 158. (17, -13) and (17, 8) 159. (3, 0) and (-11, -15) 160. (6, -10) and (-15, 15) 161. (3, -20) and (5, 8) 162. (-19, 12) and (-9, 1) 163. (6, -12) and (15, -2)
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