# CollegeGeometry1.2

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 Author: clkottke ID: 129099 Filename: CollegeGeometry1.2 Updated: 2012-01-19 20:38:38 Tags: Geometry Folders: Description: Geometry Vocabulary Show Answers:

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1. intersection
the points that two geometric figures share
2. intuition
drawing a conclusion through insight
3. inverse
relative to the statement “If P, then Q,” this statement has the form “If not P, then not Q”
4. isosceles trapezoid
a trapezoid that has two congruent legs(its nonparallel sides)
5. isosceles triangle
a triangle that has two congruent sides
6. kite
7. lateral area
the sum of areas of the lateral faces of a solid orthe area of the curved lateral surface, excluding the base area(s) (as in prisms, pyramids, cylinders, and cones)
8. legs of isosceles triangle
the two congruent sides of the triangle
9. legs of right triangle
the two sides that form the right angle of the triangle
10. legs of trapezoid
the two nonparallel sides of the trapezoid
11. lemma
a theorem that is introduced and proved so that a later theorem can be proved
12. line of centers
the line (or line segment) that joins the centers of two circles
13. line segment
the part of a line determined by two points and all points on the line that lie between those two points
14. locus
the set of all points that satisfy a given condition or conditions
15. octahedron (regular)
a polyhedron with eight congruent faces that are equilateral triangles
16. opposite rays
two rays having a common end point and which together form a line
17. orthocenter of triangle
the point of concurrence for the three altitudes of the triangle
18. parallel lines (planes)
two lines in a plane (or two planes) that do not intersect
19. parallelogram
a quadrilateral that has two pairs of parallel sides
20. parallelepiped
a right rectangular prism; a box
21. pentagon
a polygon that has exactly five sides
22. perimeter of polygon
the sum of the lengths of the sides of the polygon
23. perpendicular bisector of line segment
a line (or part of aline) that is both perpendicular to a given line segment and bisects that line segment
24. perpendicular lines
two lines that intersect to form congruent adjacent angles
25. pi ()
the constant ratio of the circumference C of a circle to the length of its diameter, this ratio is commonly approximated by the fraction or the decimal 3.1416
26. point of tangency (contact)
the point at which a tangent to a circle touches the circle
27. polygon
a plane figure whose sides are line segments that intersect only at their endpoints
28. polyhedron
a solid figure whose faces are polygons that intersect other faces along common sides of the polygons
29. postulate
a statement that is assumed to be true
• the formula ,
• which provides solutions for the equation ,where a, b, and c are real numbers and
a polygon that has exactly four sides
the measure of a central angle of a circle whose intercepted arc has a length equal to the radius of the circle
the line segment that joins the center of a circle (or sphere) to any point on the circle (or sphere)
34. ratio
a comparison between two quantities , generally written or a:b
35. ray
the part of a line that begins at a point and extends infinitely far in one direction
36. rectangle
a parallelogram that contains a right anglereflex angle an angle whose measure is between 180°and 360°
37. regular polygon
a polygon whose sides are congruent and whose interior angles are congruent
38. regular polyhedron
a polyhedron whose edges are congruent and whose faces are congruent
39. major arc
an arc whose measure is between 180° and 360°
40. means of a proportion
• the second and third terms of a proportion; in ,
• b and c are the means
41. median of trapezoid
the line segment that joins the midpoints of the two legs (nonparallel sides) of the trapezoid
42. median of triangle
the line segment joining a vertex of the triangle to the midpoint of the opposite side
43. midpoint
the point on a line segment (or arc) that separates the line segment (arc) into two congruent parts
44. minor arc
an arc whose measure is between 0° and 180°
45. nonagon
a polygon that has exactly nine sides
46. noncollinear points
three or more points that do not lie on the same line
47. noncoplanar points
four or more points that do not lie in the same plane
48. obtuse angle
an angle whose measure is between 90°and 180°
49. obtuse triangle
a triangle that has exactly one interior angle that is obtuse
50. octagon
a polygon that has exactly eight sides
51. regular prism
a right prism whose bases are regular polygons
52. regular pyramid
a pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles
53. rhombus
a parallelogram with two congruent adjacent sides
54. right angle
an angle whose measure is exactly 90°
55. right circular cone
a cone in which the line segment joining the vertex of the cone to the center of the circular base is perpendicular to the base
56. right circular cylinder
a cylinder in which the line segment joining the centers of the circular bases is perpendicular to the plane of each base
57. right prism
a prism in which lateral edges are perpendicular to the base edges that they intersect
58. right triangle
a triangle in which exactly one interior angle is a right angle
59. scalene triangle
a triangle in which no two sides are congruent
60. secant
in a right triangle, the ratio
61. secant of circle
a line (or part of a line) that intersects a circle at two points
62. sector of circle
the plane region bounded by two radii of the circle and the arc that is intercepted by the central angle formed by those radii
63. segment of circle
the plane region bounded by a chord and a minor arc (major arc) that has the same endpoints as that chord semicircle the arc of
64. semicircle
the arc of a circle determined by a diameter; an arc of a circle whose measure is exactly 180°
65. set
any collection of objects, numbers, or points
66. similar polygons
polygons that have the same shape
67. sine
in a right triangle, the ratio
a quadrilateral whose sides do not all lie in one plane
69. slant height of cone
any line segment joining the vertex of the cone to a point on the circular base
70. slant height of regular pyramid
a line segment joining the vertex of the pyramid to the midpoint of a base edge of the pyramid
71. slope
a measure of the steepness of a line; in the rectangular coordinate system, the slope m of the line through (x1,y1) and (x2,y2) is , where x1 x2
72. sphere
the set of points in space that are at a fixed distance from a given point (the center of the sphere)
73. straight angle
an angle whose measure is exactly 180°; an angle whose sides are opposite rays
74. straightedge
an idealized instrument used to construct parts of lines
75. volume
the measurement, in cubic units, of the amount of space within a bounded region of space
76. vertical angles
a pair of angles that lie in opposite positions when formed by two intersecting lines
77. vertex of polyhedron
any point at which three edges of the polyhedron meet
78. vertex of polygon
any point at which two sides of the polygon meet
79. vertex of isosceles triangle
the point at which the two congruent sides of the triangle meet
80. vertex of angle
the point at which the two sides of the angle meet
81. vertex angle of isosceles triangle
the angle formed by the two congruent sides of the triangle
82. valid argument
an argument in which the conclusion follows logically from previously stated (and accepted) premises or assumptions
83. union
the joining together of any two sets, such as geometric figures
84. triangle inequality
a statement that the sum of the lengths of two sides of a triangle cannot be greater than the length of the third side
85. triangle
a polygon that has exactly three sides
86. trapezoid
a quadrilateral having exactly two parallel sides
87. transversal
a line that intersects two or more lines, intersecting each at one point
88. torus
a three-dimensional solid that has a “doughnut” shape
89. theorem
a statement that follows logically from previous definitions and principles; a statement that can be proved
90. tetrahedron (regular)
a four-faced solid in which the faces are congruent equilateral triangles
91. tangent line of circle
a line (or part of a line) that touches acircle at only one point
92. tangent circles
two circles that have one point in common;the circles may be externally tangent or internally tangent
93. tangent
in a right triangle, the ratio
94. symmetry with respect to a point (P )
figure for which everypoint A has a second point C on the figure for which P is the midpoint of
95. symmetry with respect to a line (l)
figure for which everypoint A has a second point B on the figure for which l is the perpendicular bisector of
96. surface area
the measure of the total area of a solid; the sum of the lateral area and base area in many solid figures.
97. supplementary angles
two angles whose sum of measuresis 180°

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