# geometry-definitions.txt

The flashcards below were created by user Anonymous on FreezingBlue Flashcards.

1. Biconditional
p if and only if q," single statement that is equivalent to writing the conditional statement and its converse
2. Conclusion
The part of the conditional statement that follows the word "then." (Notation is q)
3. Conditional Statement
Has the form "If p, then q." p is the hypothesis and q is the conclusion
4. Conjecture
A conclusion reached by inductive reasoning
5. Contrapositive
Formed by interchanging and negating the hypothesis and conclusion "If not q, then not p"
6. Converse
Formed by interchanging the hypothesis and conclusion "If q, then p"
7. Counterexample
An example of a conditional statement in which the hypothesis is fulfilled and the conclusion is not fulfilled. Proves that the statement is false
8. Deductive Reasoning
Using the laws of logic to prove statements (theorems) from known statements (postulates and previously proved theorems)
9. Equivalent Statements
Having the same truth value
10. Hypothesis
In a conditional statement, it comes after "if"...the p in "if p, then q."
11. Inductive Reasoning
Making a conjecture about several examples after looking for a pattern in the examples
12. Intuitive Reasoning
13. Inverse
Negating the hypothesis and conclusion "If not p, then not q"
14. Law of Detachment
If "If p, then q" is a true conditional statement and p is true, then q is true
15. Law of Syllogism
If "If p, then q" and "If q, then r" are true conditional statements, then "If p, then r" is also true
16. Negation
The denial of a statement "Not p"
17. Truth Value
naming a statement true or false
18. Transformation
Movement of a pre-image using reflection translation rotation or dilation
19. Reflection
Isometric flip motion
20. Rotation
Isometric turn motion
21. Translation
Isometric slide motion
22. Dilation
A similarity transformation that has a center and scale factor, can be an enlargement or a reduction
23. Pre-image
Original object before a transformation
24. Image
The object after a transformation
25. Congruent
Same size and shape
26. Isometry
Congruent transformation
27. Angle of Rotation
The angle at which a figure is rotated
28. Center of Dilation
Point about which a dilation is performed
29. Center of Rotation
Fixed point around which a rotation occurs
30. Equidistant
Same or equal distance
31. Line of Reflection
For every point on a figure, there is a reflection image of that point over this line
32. Prime Notation
Symbolic representation given to images as a result of a transformation
33. Similarity Transformation
Dilation
34. Symmetry
A figure has this if there is an isometry that maps the figure onto itself
35. Corresponding
Matching parts of two or more figures
36. on another figure
...
37. Mapping
A one-to-one correspondence between points of two figures
38. Scale Factor
The number that describes the size change from an original figure to its
39. image
...
40. Composition of Motions
Two or more motions done in sequence
41. Matrix
A collection of data using rows and columns
42. Dimensions of Matrix
Row by Column
43. Identity Matrix
Matrix when used results in the original matrix e11 = 1 e12 = 0 e21 =0 e22 = 1
44. Acute Angle
An angle x whose measure is 0 < x< 90
A pair of angles that: 1)Share a common vertex
46. Analytic Geometry
Coordinate based geometry
47. Angle
A partial rotation
48. Angle Bisector
A ray, line, or plane that divides an angle into two congruent angles
49. Bisect
Divided into two equal or congruent parts
50. Collinear
On the same line
51. Complementary Angles
A pair of angles whose sum is 90 degrees
52. Congruent Angles
Angles that have the same measure
53. Congruent Segments
Segments that have the same length
54. Coplanar
On the same plane
55. Degree
Unit of measure for an angle (1/360th of a full rotation)
56. Dihedral Angle
Angle formed by the intersection of two planes
57. Endpoint
Point at the beginning or end of a ray or segment
58. Euclidean Geometry
Non-coordinate geometry
59. Exterior Point
A point not in the interior or on
60. Finite
Having a limit
61. Geometry (overall)
The mathematics of the properties measurement and relationships of points lines angles surfaces and solids
62. Infinite
Having no limits or boundaries in time or space or extent or magnitude
63. Interior Point
A point not in the exterior or on
64. Intersection
Set of points shared by two or more figures
65. Line
Infinite set of collinear points
66. Linear Pair
67. Midpoint
A point that divides a segment into two congruent segments
68. Non-collinear
Not on the same line
69. Obtuse Angle
An angle q whose measure is 90 < q < 180
70. Opposite Rays
Two rays that share a common endpoint and extend in opposite directions
71. Parallel Lines
Coplanar lines that never intersect
72. Parallel Planes
Two or more planes that never intersect
73. Perpendicular Bisector
A segment bisector that intersects the midpoint at right angle
74. Perpendicular Lines
Two lines that intersect to form one right angle
75. Plane
A boundless flat surface
76. Plane Geometry
Branch of geometry that deals with geometric figures which require a plane but not any space for their existence
77. Point
Undefined, but can be described as an exact unique sizeless location in space
78. Postulate
A statement that requires no proof
79. Ray
Has an endpoint and extends infinitely in 1 direction
80. Right Angle
An angle q whose measure is q = 90
81. Segment
An infinite set of collinear points with finite length
82. Segment Bisector
A line, segment, ray, or plane that intersects a midpoint of a segment
83. Skew Lines
Non-coplanar lines that never intersect
84. Solid Geometry
Branch of geometry that deals with figures which occupy space
85. Space
Infinite set of all points everywhere
86. Straight Angle
An angle q whose measure is q = 180
87. Supplementary Angles
A pair of angles whose sum is 180
88. Theorem
A statement that requires proof
89. Three-Dimensional Figure
A geometric figure that takes up space in solid geometry like a pyramid or sphere
90. Trisect
Divide into three equal or congruent parts
91. Two-Dimensional Figure
A geometric figure that takes up no space and can be represented in a plane like a triangle or circle
92. Vertex
The shared endpoint of two rays that form an angle
93. Vertical Angles
A pair of angles whose sides form opposite rays
94. Alternate Exterior Angles
Angles that lie outside two lines on opposite sides of the transversal
95. Alternate Interior Angles
Angles that lie between two lines on opposite sides of the transversal
96. Consecutive Interior Angles (Same-Side Interior)
Two angles that lie between two lines on the same side of the transversal
97. Corresponding Angles
Angles that occupy corresponding positions
98. Point-Slope Form - (y - y1) = m(x - x1)
...
99. Transversal
A line that intersects two or more coplanar lines at different points
100. Slope
(y2 - y1)/(x2 - x1)
101. Standard Form
For linear equations, the form Ax + By = C, where A,B,C are integers and A doesn't equal 0
102. Slope-Intercept Form
A linear equation of the form y = mx + b
 Author: Anonymous ID: 127070 Card Set: geometry-definitions.txt Updated: 2012-01-11T01:28:57Z Folders: Description: Honors Geometry vocabulary terms Show Answers: