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Geometry Semester One Final Flashcards

1
Q

A part of a line consisting of one endpoint and extends forever in one direction

A

Ray

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2
Q

A point, segment, line, or place that intersects a segment at it’s midpoint cutting the segment into two congruent pieces

A

Segment bisector

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3
Q

What is the midpoint formula

A

x+x y+y

M=( —

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4
Q

Segments or angles that have the same measure

A

Congruent

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5
Q

A part of a line consisting of 2 endpoints and everything between

A

Line segment

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6
Q

2 rays with a common endpoint extending in opposite directions. They combine to create a line

A

Opposite rays

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7
Q

Points that are not on the same plane

A

Noncoplanar

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8
Q

The set of all points it’s boundless and three dimensional

A

Space

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9
Q

Points that are on the same plane

A

Coplaner points

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10
Q

Points that are not on the same line

A

Non-collinear points

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11
Q

Points that are on the same line

A

Collinear points

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12
Q

A flat surface made of points continue infinitely in on directions

A

Plane

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13
Q

The set of all points continuing in opposite directions from a given point it has neither size nor shape

A

Line

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14
Q

A location in space with neither size nor shape

A

Point

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15
Q

Shape formed by two noncollinear rays with a common endpoint

A

Angle

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16
Q

Sides of an angle

A

To noncollinear rays

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17
Q

And angle whose measure is greater than 0° but less than 90°

A

Acute angle

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18
Q

Angle whose measure is exactly 90°

A

Right angle

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19
Q

An angle whose measure is greater than 90° but less than 180°

A

Obtuse angle

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20
Q

And angle whose measure is exactly 180°

A

Straight angle

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21
Q

A line, Ray, or segment which divides an angle into two congruent angles

A

Angle bisector

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22
Q

Angles that share a vertex and a common side but do not overlap

A

Adjacent angle

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23
Q

Two nonadjacent angles formed by intersecting lines

A

Vertical angle

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24
Q

Two angles with measures that have a sum of 90°

A

Complementary angles

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25
Two angles with a measure that have the sum of 180°
Supplementary angles
26
Any two lines, rays or segment whose intersection creates90° angles
Perpendicular
27
The intersection of two lines
.
28
The intersection of two planes
Line
29
The common endpoint of the rays in an angle
For tax
30
The inside of an angle
Interior
31
The outside of an angle
Exterior
32
Two adjacent angles whose noncommon sides are opposite rays. They create a straight line
Linear pair
33
A point, segment, line,place that intersects a segment at its midpoint, cutting the segment into two congruent
Segment bisector
34
The point halfway between the endpoints of the segment
Mid point
35
The measure of an angle
Degree
36
Shape where all of its sides are line segments all of its sides intersect at the endpoints of the segment
Polygon
37
Where the sides intersect at the endpoints of the segment of a polygon
Vertex of a polygon
38
A polygon where all sides are equal lateral and all angles are equal angular.
Regular polygon
39
All sides are congruent
Equilateral
40
All angles are congruent
Equal angular
41
A polygon with three sides
Triangle
42
A polygon with four sides
Quadrilateral
43
A polygon with five sides
Pentagon
44
A polygon with six sides
Hexagon
45
A polygon with seven sides
Heptagon
46
A polygon with eight sides
Octagon
47
Polygon with nine sides
Nonagon
48
A polygon with 10 sides
Decagon
49
A polygon with 11 sides
Undecagon
50
A polygon with 12 sides
Dodecagon
51
A polygon with n sides
N gon
52
The distance around an object. In a polygon, it is calculated by finding the sum of the sides
Perimeter
53
The distance around a circle
Circumference
54
Measures of the number of square units needed to cover the surface of a figure
Area
55
A guess or hypothesis of what you think might happen next. Not necessarily based on any previous knowledge or information
A conjecture in non-mathematical terms
56
Using a number of specific examples or patterns to arrive at a conclusion
Inductive reasoning
57
A conclusion of what happens next based upon patterns or an example noted when using inductive reasoning. may or may not be correct.
Mathematical conjecture
58
And example that shows how the conclusion or conjecture could be wrong
Counterexample
59
A sentence that is either True or false
Statement
60
Truth value
Either true or False
61
A statement that has the opposite meaning and truth value of the original statement
Negation
62
Statement symbol
p
63
Negations symbols
~p
64
Statements with And
Conjunction
65
Statements with or
Disjunction
66
Symbol for conjunction
^
67
Symbol for disjunction
V
68
A statement were two different thoughts are combined
Compound statement
69
Drawings with intersecting shapes that show common characteristics of different groups
Venn diagram
70
A method for organizing truth values use of individual statements and compound statements. It shows the results for different combinations of true and false statements.
Truth table
71
A statement that is written in if then form. Can be true or false
Conditional statement
72
The part of a conditional statement that follows the word if
Hypothesis
73
The part of a conditional statement that follows the word then
Conclusion
74
Formed by switching the hypothesis and the conclusion of a statement
Converse of a statement
75
Formed by negating the hypothesis and the conclusion of a statement
Inverse of a statement
76
Formed by negating and exchanging places of the hypothesis and the conclusion ( it is the inverse of the converse)
Contrapositive of a statement
77
Which two statements will always have the same truth value
Conditional and the contrapositive will always have the same truth value
78
Uses facts, rules, definitions, or properties to reach logical conclusion
Deductive reasoning
79
A form of deductive reasoning that is used to draw conclusions from true conditional statements
Law of detachment
80
Similar to the transitive property of equality. You can use it to determine whether he valid conclusion can be reached from the set of conditional statement
Law of syllogism
81
A way to organize statements and reasons it is easy to follow format. This is considered a more formal style of proof that a paragraph proof
To column proof
82
Coplanar lines that do not intersect
Parallel
83
Planes that do not intersect
Parallel planes
84
Intersecting lines that form a right angle
Perpendicular
85
Noncoplanar lines that do not intersect
skew lines
86
A line intersects two or more coplanar lines at two different points
Transversal
87
Interior angles that lie on the same side of the transversal
Consecutive interior angles
88
Nonadjacent exterior angles that lie on alternating sides of the transversal
Alternate exterior angles
89
Non-adjacent interior angles that lie on the alternating sides of the transversal
Alternate interior angles
90
Angles that lie on the same position with respect to both the transversal and intersected line
Corresponding angles
91
Triangle with one right angle
Right triangle
92
A triangle with one obtuse angle
Obtuse triangle
93
If triangle with three acute angle
Acute triangle
94
A triangle with Three congruent angles each angle will be 60°
Equal angular triangle
95
A triangle with At least two congruent sides
Isosceles triangle
96
If triangle with no congruent sides
Scalene triangle
97
Angles formed by one side of a triangle and the extension of another sign
Exterior angles
98
Angles inside the triangle that are not adjacent to the exterior angle
Remote interior angles

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