Geometry EOC
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1. Adjacent Angles | Two angles are Adjacent if they have a common side and a common vertex (corner point), and don't overlap
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2. Alternate Interior Angles | When two lines are crossed by another line (which is called the Transversal), the pairs of angles on opposite sides of the transversal but inside the two lines
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3. Angle of Depression | the angle below a horizontal
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4. Angle of Elevation | the angle above a horizontal
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5. Apothem | a line from the center of a regular polygon at right angles to any of its sides
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6. Arc | a part of the circumference of a circle or other curve
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7. Intersection | a point or line common to lines or surfaces that intersect
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8. Area of Triangle | 1/2 b*h
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9. Area of Equilateral Triangle | side^2*square root of 3 divided by 4
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10. Midpoint | the exact middle point
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11. Inductive Reasoning | is reasoning in which the premises seek to supply strong evidence for (not absolute proof of) the truth of the conclusion
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12. Area of Circle | 3.14r^2
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13. Area of Regular Hexagon | 3*square root of 3/2a^2
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14. Area of Trapezoid | h(b1 + b2)/2
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15. Area of Parallelogram | b*h
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16. Biconditional | In logic, a biconditional is a compound statement formed by combining two conditionals under "and"
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17. Bisector | a bisector divides the octave approximately in half
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18. Deductive Reasoning | a logical process in which a conclusion is based on the concordance of multiple premises that are generally assumed to be true
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19. Central Angle | an angle whose apex (vertex) is the center O of a circle
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20. Centroid | the center of mass of a geometric object of uniform density
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21. Chord | A straight line connecting two points on a curve
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22. Volume of Pyramid/Cone | Area of base*H/3
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23. Space | the dimensions of height, depth, and width within which all things exist and move
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24. Point | A point specifies only location; it has no length, width, or depth
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25. Line | It continues forever in two directions (so it has infinite length), but it has no width at all
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26. Postulate | Postulate is a true statement, which does not require to be proved
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27. Circle | a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)
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28. Counterexample | an example that refutes an assertion or claim
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29. Circumference | the enclosing boundary of a curved geometric figure, esp. a circle
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30. Circumscribed | draw (a figure) around another, touching it at points but not cutting it
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31. Concentric Circles | The region of the plane between two concentric circles is an annulus, and analogously the region of space between two concentric spheres is a spherical shell
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32. Cone | a solid or hollow object that tapers from a circular or roughly circular base to a point
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33. Conjecture | a statement that is believed to be true but not yet proved
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34. Consecutive | one after another
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35. Complementary Angles | either of two angles whose sum is 90°
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36. Convex Polygon | Every internal angle is less than or equal to 180 degrees. Every line segment between two vertices remains inside or on the boundary of the polygon
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37. Concave Polygon | A concave polygon will always have an interior angle with a measure that is greater than 180 degrees
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38. Supplementary Angles | either of two angles whose sum is 180°
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39. Corollary | a proposition that follows from (and is often appended to) one already proved
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40. Corresponding Parts | Angles that have the same relative positions in geometric figures
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41. Alternate Exterior Angles | , the pairs of angles on opposite sides of the transversal but outside the two lines
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42. Corresponding Angles | the angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal
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43. Cosine | the trigonometric function that is equal to the ratio of the side adjacent to an acute angle (in a right-angled triangle) to the hypotenuse
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44. Cross Section | a surface or shape that is or would be exposed by making a straight cut through something, esp. at right angles to an axis
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45. Cylinder | a solid geometric figure with straight parallel sides and a circular or oval section
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46. Dilation | enlarging or shrinking of a shape
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47. Exterior Angle of Polygon | is an angle formed by one side of a simple, closed polygon and a line extended from an adjacent side
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48. Triangle Inequality Thm. | the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side
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49. Segment | a part of a figure cut off by a line or plane intersecting it, in particula
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50. Ray | never ending line with a point and an arrow going in one direction
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51. Collinear | points lying in the same straight line
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52. Theorem | a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths
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53. Geometric Mean | the central number in a geometric progression (e.g., 9 in 3, 9, 27 ), also calculable as the n th root of a product of n numbers
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54. Converse | the central number in a geometric progression (e.g., 9 in 3, 9, 27 ), also calculable as the n th root of a product of n numbers
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55. Inscribed Angle | An inscribed angle is an angle formed by two chords in a circle which have a common endpoint
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56. Inverse | the opposite
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57. Contrapostive | which says that a conditional statement is logically equivalent to its contrapositive
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58. Line of Symmetry | is the imaginary line where you could fold the image and have both halves match exactly
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59. Conditional | A conditional statement, symbolized by pq, is an if-then statement in which p is a hypothesis and q is a conclusion
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60. Orthographic Drawings | a means of representing a three-dimensional object in two dimensions
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61. Parallelogram | a four-sided plane rectilinear figure with opposite sides parallel
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62. Perimeter | the continuous line forming the boundary of a closed geometric figure
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63. Perpendicular Bisector | a line that passes through the midpoint of a given segment
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64. Platonic Solids | tetrahedron, hexahedron, octahedron, dodecahedron, icosahedron
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65. Scalene | having sides unequal in length
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66. Prism | a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms
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67. Pyramid | a monumental structure with a square or triangular base and sloping sides that meet in a point at the top
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68. Linear Pair | two angles add up to 180
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69. Lateral Area | area of the faces only
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70. Radius | the line from the center of the circle to the edge of the circle
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71. Diameter | a line from the edge of the circle to the other edge of the circle, crosses through the center
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72. Reflection | flipping
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73. Heptagon | 7 sided shape
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74. Vertical Angles | are non-adjacent angles formed by a pair of intersecting lines
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75. Parallel | lines that go in the same direction and never touch
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76. Perpendicular | lines that cross each other and go on forever
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77. Angle | lines for this when they cross
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78. Midsegment | the middle of a segment
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79. Octagon | 8 sided shape
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80. Regular Polygon | a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length)
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81. Pentagon | 5 sided shape
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82. Rotation | turn
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83. Altitude | a line segment connecting a vertex to the line containing the opposite side and perpendicular to that side
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84. Median | a segment connecting any vertex of a triangle to the midpoint of the opposite side
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85. Nonagon | 9 sided shape
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86. Decagon | 10 sided shape
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87. Dodecagon | a plane figure with twelve sides
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88. Secant Line | a straight line joining two points on a function
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89. Sine | trig function
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90. Tangent | trig function
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91. Tangent to a Circle | a line touching the outside of the circle
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92. Similar Polygon | same shape just different side lenghts
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93. Slope | 3/5
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94. Slope Intercept Form | y=mx+b
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95. Special Right Triangle | 30,60,90 or 45,45,90
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96. Sphere | 3 dimensional circle
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97. Surface Area | how much the shape can hold
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98. Tessellate | arrange shapes so there is no gaps
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99. Transformation | Moving a shape so that it is in a different position, but still has the same size, area, angles and line lengths
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100. Volume of Cylinder/Prism | area of base*h
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101. Acute Angle | angle less than 90
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102. Obtuse Angle | angle more than 90
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103. Straight Angle | angle equal to 180
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104. Skew Lines | lines that are not parallel nor perpendicular
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Created by:
dylanallbritton
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