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Other > Geometry Semester One Final > Flashcards

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
Q

Two angles with a measure that have the sum of 180°

A

Supplementary angles

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26
Q

Any two lines, rays or segment whose intersection creates90° angles

A

Perpendicular

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27
Q

The intersection of two lines

A

.

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28
Q

The intersection of two planes

A

Line

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29
Q

The common endpoint of the rays in an angle

A

For tax

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30
Q

The inside of an angle

A

Interior

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31
Q

The outside of an angle

A

Exterior

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32
Q

Two adjacent angles whose noncommon sides are opposite rays. They create a straight line

A

Linear pair

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33
Q

A point, segment, line,place that intersects a segment at its midpoint, cutting the segment into two congruent

A

Segment bisector

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34
Q

The point halfway between the endpoints of the segment

A

Mid point

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35
Q

The measure of an angle

A

Degree

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36
Q

Shape where all of its sides are line segments all of its sides intersect at the endpoints of the segment

A

Polygon

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37
Q

Where the sides intersect at the endpoints of the segment of a polygon

A

Vertex of a polygon

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38
Q

A polygon where all sides are equal lateral and all angles are equal angular.

A

Regular polygon

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39
Q

All sides are congruent

A

Equilateral

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40
Q

All angles are congruent

A

Equal angular

41
Q

A polygon with three sides

A

Triangle

42
Q

A polygon with four sides

A

Quadrilateral

43
Q

A polygon with five sides

A

Pentagon

44
Q

A polygon with six sides

A

Hexagon

45
Q

A polygon with seven sides

A

Heptagon

46
Q

A polygon with eight sides

A

Octagon

47
Q

Polygon with nine sides

A

Nonagon

48
Q

A polygon with 10 sides

A

Decagon

49
Q

A polygon with 11 sides

A

Undecagon

50
Q

A polygon with 12 sides

A

Dodecagon

51
Q

A polygon with n sides

A

N gon

52
Q

The distance around an object. In a polygon, it is calculated by finding the sum of the sides

A

Perimeter

53
Q

The distance around a circle

A

Circumference

54
Q

Measures of the number of square units needed to cover the surface of a figure

A

Area

55
Q

A guess or hypothesis of what you think might happen next. Not necessarily based on any previous knowledge or information

A

A conjecture in non-mathematical terms

56
Q

Using a number of specific examples or patterns to arrive at a conclusion

A

Inductive reasoning

57
Q

A conclusion of what happens next based upon patterns or an example noted when using inductive reasoning. may or may not be correct.

A

Mathematical conjecture

58
Q

And example that shows how the conclusion or conjecture could be wrong

A

Counterexample

59
Q

A sentence that is either True or false

A

Statement

60
Q

Truth value

A

Either true or False

61
Q

A statement that has the opposite meaning and truth value of the original statement

A

Negation

62
Q

Statement symbol

A

p

63
Q

Negations symbols

A

~p

64
Q

Statements with And

A

Conjunction

65
Q

Statements with or

A

Disjunction

66
Q

Symbol for conjunction

A
67
Q

Symbol for disjunction

A

V

68
Q

A statement were two different thoughts are combined

A

Compound statement

69
Q

Drawings with intersecting shapes that show common characteristics of different groups

A

Venn diagram

70
Q

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.

A

Truth table

71
Q

A statement that is written in if then form. Can be true or false

A

Conditional statement

72
Q

The part of a conditional statement that follows the word if

A

Hypothesis

73
Q

The part of a conditional statement that follows the word then

A

Conclusion

74
Q

Formed by switching the hypothesis and the conclusion of a statement

A

Converse of a statement

75
Q

Formed by negating the hypothesis and the conclusion of a statement

A

Inverse of a statement

76
Q

Formed by negating and exchanging places of the hypothesis and the conclusion ( it is the inverse of the converse)

A

Contrapositive of a statement

77
Q

Which two statements will always have the same truth value

A

Conditional and the contrapositive will always have the same truth value

78
Q

Uses facts, rules, definitions, or properties to reach logical conclusion

A

Deductive reasoning

79
Q

A form of deductive reasoning that is used to draw conclusions from true conditional statements

A

Law of detachment

80
Q

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

A

Law of syllogism

81
Q

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

A

To column proof

82
Q

Coplanar lines that do not intersect

A

Parallel

83
Q

Planes that do not intersect

A

Parallel planes

84
Q

Intersecting lines that form a right angle

A

Perpendicular

85
Q

Noncoplanar lines that do not intersect

A

skew lines

86
Q

A line intersects two or more coplanar lines at two different points

A

Transversal

87
Q

Interior angles that lie on the same side of the transversal

A

Consecutive interior angles

88
Q

Nonadjacent exterior angles that lie on alternating sides of the transversal

A

Alternate exterior angles

89
Q

Non-adjacent interior angles that lie on the alternating sides of the transversal

A

Alternate interior angles

90
Q

Angles that lie on the same position with respect to both the transversal and intersected line

A

Corresponding angles

91
Q

Triangle with one right angle

A

Right triangle

92
Q

A triangle with one obtuse angle

A

Obtuse triangle

93
Q

If triangle with three acute angle

A

Acute triangle

94
Q

A triangle with Three congruent angles each angle will be 60°

A

Equal angular triangle

95
Q

A triangle with At least two congruent sides

A

Isosceles triangle

96
Q

If triangle with no congruent sides

A

Scalene triangle

97
Q

Angles formed by one side of a triangle and the extension of another sign

A

Exterior angles

98
Q

Angles inside the triangle that are not adjacent to the exterior angle

A

Remote interior angles

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