CollegeGeometry1.1

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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
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
 Author: clkottke ID: 129082 Card Set: CollegeGeometry1.1 Updated: 2012-01-20 00:22:19 Tags: Geometry kottke Folders: Description: College Geometry vocabulary Part 1 of 2 Show Answers: