CollegeGeometry1.1

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clkottke
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129082
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CollegeGeometry1.1
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2012-01-19 19:22:19
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Geometry kottke
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College Geometry vocabulary Part 1 of 2
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  1. acute angle
    an angle whose measure is between 0° and 90°
  2. acute triangle
    a triangle whose three interior angles are all acute
  3. adjacent angles
    two angles that have a common vertex and a common side between them
  4. altitude of cone (pyramid)
    the line segment from the vertex of the cone perpendicular to the plane of the base
  5. altitude of cylinder (prism)
    a line segment between and perpendicular to each of the two bases
  6. altitude of parallelogram
    a line segment drawn perpendicularly from a vertex to a nonadjacent side (known as the related base) of the parallelogram
  7. altitude of trapezoid
    a line segment drawn perpendicularlyfrom a vertex to the remaining parallel side
  8. altitude of triangle
    a line segment drawn perpendicularly from a vertex of the triangle to the opposite side of the triangle; the length of the altitude is the height of the triangle
  9. angle
    the plane figure formed by two rays that share acommon endpoint
  10. base of isosceles triangle
    the side of the triangle whose length is unique; the side opposite the vertex
  11. bases of trapezoid
    the two parallel sides of the trapezoid
  12. bisector of angle
    a ray that separates the given angle into two smaller, congruent angles
  13. center of circle
    the interior point of the circle whose distance from all points on the circle is the same
  14. center of regular polygon
    the common center of the inscribed and circumscribed circles of the regular polygon
  15. center of sphere
    the interior point of the sphere whose distance from all points on the sphere is the same
  16. central angle of circle
    an angle whose vertex is at the center of the circle and whose sides are radii of the circle
  17. central angle of regular polygon
    an angle whose vertex is at the center of the regular polygon and whose sides are two consecutive radii of the polygon
  18. centroid of triangle
    the point of concurrence for the three medians of the triangle
  19. chord of circle
    any line segment that joins two points on the circle
  20. angle of depression (elevation)
    acute angle formed by a horizontal ray and a ray determined by a downward (an upward) rotation
  21. apothem of regular polygon
    any line segment drawn from the center of the regular polygon perpendicular to one of its sides
  22. arc
    the segment (part) of a circle determined by two points on the circle and all points between them
  23. area
    the measurement, in square units, of the amount of region within an enclosed plane figure
  24. auxiliary line
    a line (or part of a line) added to a drawing tohelp complete a proof or solve a problem
  25. base
    a side (of a plane figure) or face (of a solid figure) to which an altitude is drawn
  26. base angles of isosceles triangle
    the two congruent angles of the isosceles triangle
  27. circle
    the set of points in a plane that are at a fixed distance from a given point (the center of the circle) in the plane
  28. circumcenter of triangle
    the center of the circumscribed circle of a triangle; the point of concurrence for the perpendicular bisectors of the three sides of the triangle
  29. circumference
    the linear measure of the distance around a circle
  30. circumscribed circle
    a circle that contains all vertices of a polygon whose sides are chords of the circle
  31. circumscribed polygon
    a polygon whose sides are all tangent to a circle in the interior of the polygon
  32. collinear points
    points that lie on the same line
  33. common tangent
    a line (or segment) that is tangent to more than one circle; can be a common external tangent or a common internal tangent
  34. complementary angles
    two angles whose sum of measures is 90°
  35. concave polygon
    a polygon in which at least one diagonal lies in the exterior of the polygon
  36. concentric circles (spheres)
    two or more circles (spheres) that have the same center
  37. conclusion
    the “then” clause of an “If, then” statement; the part of a theorem indicating the claim to be proved
  38. concurrent lines
    three or more lines that contain the same point
  39. congruent
    refers to figures (such as angles) that can be made to coincide
  40. converse
    relative to the statement “If P, then Q,” this statement has the form “If Q, then P”
  41. convex polygon
    a polygon in which all diagonals lie in the interior of the polygon
  42. coplanar points
    points that lie in the same plane
  43. corollary
    a theorem that follows from another theorem as a“by-product”; a theorem that is easily proved as the consequence of another theorem
  44. cosecant
    in a right triangle, the ratio
  45. cosine
    in a right triangle, the ratio
  46. cotangent
    in a right triangle, the ratio
  47. cube
    a right square prism whose edges are congruent
  48. cyclic polygon
    a polygon that can be inscribed in a circle
  49. cylinder (circular)
    the solid generated by all line segments parallel to the axis of the cylinder and which contain corresponding end points on the two congruent circular bases
  50. decagon
    a polygon with exactly 10 sides
  51. deduction
    a form of reasoning in which specific conclusions are reached through the use of established principles
  52. degree
    the unit of measure that corresponds to of a complete revolution; used with angles and arcs
  53. diagonal of polygon
    a line segment that joins two nonconsecutive vertices of a polygon
  54. diameter
    any line segment that joins two points on a circle (or sphere) and that also contains the center of the circle (or sphere)
  55. dodecagon
    a polygon that has exactly 12 sides
  56. dodecahedron (regular)
    a polyhedron that has exactly12 faces that are congruent regular pentagons
  57. edge of polyhedron
    any line segment that joins two consecutive vertices of the polyhedron (includes prisms and pyramids)
  58. equiangular polygon
    a type of polygon whose angles are congruent (equal)
  59. equilateral polygon
    a type of polygon whose sides are congruent(equal)
  60. equivalent equations
    equations for which the solutions are the same
  61. extended proportion
    a proportion that has three or moremembers, such as
  62. extended ratio
    a ratio that compares three or more numbers,such as a:b:c
  63. exterior
    refers to all points that lie outside an enclosed(bounded) plane or solid figure
  64. exterior angle of polygon
    an angle formed by one side of the polygon and an extension of a second side that has a common endpoint with the first side
  65. extremes of a proportion
    • the first and last terms of a proportion; in ,
    • a and d are the extremes
  66. face of polyhedron
    any one of the polygons that lies in a plane determined by the vertices of the polyhedron; includes base(s) and lateral faces of prisms and pyramids
  67. geometric mean
    the repeated second and third terms of certain proportions; in ,

    b is the geometric mean of a and c
  68. height
    the length of the altitude of a geometric figure
  69. heptagon
    a polygon that has exactly seven sides
  70. hexagon
    a polygon that has exactly six sides
  71. hexahedron (regular)
    a polyhedron that has six congruent square faces; also called a cube
  72. hypotenuse of right triangle
    the side of a right triangle that lies opposite the right angle
  73. hypothesis
    the “if” clause of an “If, then” statement; the part of a theorem providing the given information
  74. icosahedron (regular)
    a polyhedron with 20 congruent faces that are equilateral triangles
  75. incenter of triangle
    the center of the inscribed circle of a triangle; the point of concurrence for the three angle bisectors of the angles of the triangle
  76. induction
    a form of reasoning in which a number of specific observations are used to draw a general conclusion
  77. inscribed angle of circle
    an angle whose vertex is on a circle and whose sides are chords of the circle
  78. inscribed circle
    a circle that lies inside a polygon in such away that the sides of the polygon are tangents of the circle
  79. inscribed polygon
    a polygon whose vertices all lie on a circle in such a way that the sides of the polygon are chords of the circle
  80. intercepted arc
    the arc (an arc) of a circle that is cut off in the interior of an angle (or related angle)
  81. intercepts
    the points at which the graph of an equation intersects the axes
  82. interior
    refers to all points that lie inside an enclosed (bounded) plane or solid figure
  83. interior angle of polygon
    any angle formed by two consecutive sides of the polygon in such a way that the angle lies in the interior of the polygon

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