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Geometry EOC

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Term
Definition
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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