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211 Terms

1

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acute angle(ch 1)

an angle that measures more than 0 degrees, but less than 90 degrees

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2

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adjacent angles(ch 1)

two angles that share a common vertex and side, but have no common interior points

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3

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angle(ch 1)

A set of points consisting of two different rays that have the same endpoint

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4

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angle bisector(ch 1)

a ray that divides an angle into two angles that are congruent

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5

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axiom(ch 1)

a rule that is accepted without proof

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6

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between(ch 1)

When three points are collinear, one point is between the other two.

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7

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collinear points(ch 1)

points that lie on the same line

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8

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complementary angles(ch 1)

Two angles whose sum is 90 degrees

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9

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congruent angles(ch 1)

two angles that have the same measure

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10

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congruent segments(ch 1)

segments that have the same length

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11

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construction(ch 1)

A geometric drawing that uses a limited set of tools, usually a compass and straightedge.

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12

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coordinate(ch 1)

the real number that corresponds to a point on a line

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13

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coplanar points(ch 1)

points that lie on the same plane

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14

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defined terms(ch 1)

terms that can be described using known words such as point or line

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15

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distance(ch 1)

the absolute value of the difference of the coordinates on a line

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16

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endpoints(ch 1)

Points that represent the ends of a line segment or ray

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17

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exterior of an angle(ch 1)

the region that contains all the points outside of an angle

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18

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interior of an angle(ch 1)

the region that contains all the points between the sides of an angle

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19

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intersection(ch 1)

the set of points that two or more geometric figures have in common

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20

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line(ch 1)

A line has one dimension. It is represented by a line with two arrowheads, but it extends without end.

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21

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line segment(ch 1)

consists of two endpoints and all the points between them

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22

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linear pair(ch 1)

two adjacent angles whose noncommon sides are opposite rays

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23

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measure of an angle(ch 1)

the absolute value of the difference between the real numbers matched with the two rays that form the angle on a protractor

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24

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midpoint(ch 1)

the point that divides a segment into two congruent segments

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25

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obtuse angle(ch 1)

An angle that measures more than 90 degrees but less than 180 degrees

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26

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opposite rays(ch 1)

If point C lies on AB between A and B, then CA and CB are opposite rays.

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27

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plane(ch 1)

A flat surface made up of points that has two dimensions and extends without end, and is represented by a shape that looks like a floor or a wall

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28

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point(ch 1)

A location in space that is represented by a dot and has no dimension

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29

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postulate(ch 1)

a rule that is accepted as true without proof

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30

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ray(ch 1)

AB is a ray if it consists of the endpoint A and all points on AB that lie on the same side of A as B

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31

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right angle(ch 1)

an angle that measures 90 degrees

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32

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segment(ch 1)

consists of two endpoints and all the points between them

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33

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segment bisector(ch 1)

a point, ray, line, line segment, or plane that intersects the segment at its midpoint

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34

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sides of an angle(ch 1)

the rays of an angle

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35

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straight angle(ch 1)

an angle that measures 180 degrees

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36

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supplementary angles(ch 1)

two angles whose measures have a sum of 180 degrees

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37

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undefined terms(ch 1)

Words that do not have formal definitions, but there is agreement about what they mean

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38

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vertex of an angle(ch 1)

The common endpoint of the two rays that form an angle

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39

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vertical angles(ch 1)

two angles whose sides form two pairs of opposite rays

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40

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biconditional statement(ch 2)

A statement that contains the phrase "if and only if"

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41

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conclusion(ch 2)

The "then" part of a conditional statement written in if-then form

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42

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conditional statement(ch 2)

a logical statement that has a hypothesis and a conclusion

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43

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conjecture(ch 2)

unproven statement that is based on observations

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44

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Contrapositive(ch 2)

the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement

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45

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converse(ch 2)

the statement formed by exchanging the hypothesis and conclusion of a conditional statement

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46

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Counterexample(ch 2)

a specific case for which the conjecture is false

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47

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deductive reasoning(ch 2)

A process that uses facts, definitions, accepted properties, and the laws of logic to form a logical argument

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48

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equivalent statements(ch 2)

Two related conditional statements that are both true or both false

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49

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flowchart proof (flow proof)(ch 2)

A type of proof that uses boxes and arrows to show the flow of a logical argument

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50

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hypothesis(ch 2)

the "if" part of a conditional statement

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51

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if-then form(ch 2)

A conditional statement in the form "if p, then q", where the "if" part contains the hypothesis and the "then" part contains the conclusion

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52

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inductive reasoning(ch 2)

A process that includes looking for patterns and making conjectures.

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53

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inverse(ch 2)

the statement formed by negating both the hypothesis and conclusion of a conditional statement

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54

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line perpendicular to a plane(ch 2)

a line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it

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55

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negation(ch 2)

The opposite of a statement

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56

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paragraph proof(ch 2)

A style of proof that presents the statements and reasons as sentences in a paragraph, using words to explain the logical flow of an argument

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57

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proof(ch 2)

A logical argument that shows a statement is true.

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58

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theorem(ch 2)

a statement that can be proven

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59

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truth table(ch 2)

A table that shows the truth values for a hypothesis, conclusion, and a conditional statement

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60

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truth value(ch 2)

A value that represents whether a statement is true (T) or false (F)

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61

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two-column proof(ch 2)

a type of proof that has numbered statements and corresponding reasons that show an argument in a logical order

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62

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alternate exterior angles(ch 3)

two angles that are formed by two lines and a transversal and lie outside the two lines and on opposite sides of the transversal

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63

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alternate interior angles(ch 3)

two angles that are formed by two lines and a transversal and lie between the two lines and on opposite sides of the transversal

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64

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consecutive interior angles(ch 3)

Two angles that are formed by two lines and a transversal that lie between the two lines and on the same side of the transversal

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65

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corresponding angles(ch 3)

two angles that are formed by two lines and a transversal that are in corresponding positions

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66

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directed line segment(ch 3)

a segment that represents moving from point A to point B is called the directed line segment AB

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67

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distance from a point to a line(ch 3)

the length of the perpendicular segment from the point to the line

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68

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parallel lines(ch 3)

coplanar lines that do not intersect

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69

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parallel planes(ch 3)

planes that do not intersect

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70

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perpendicular bisector(ch 3)

A line that is perpendicular to a segment at its midpoint.

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71

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skew lines(ch 3)

Lines that do not intersect and are not coplanar

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72

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transversal(ch 3)

a line that intersects two or more coplanar lines at different points

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73

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angle of rotation(ch 4)

the angle that is formed by rays drawn from the center of rotation to a point and its image

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74

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center of dilation(ch 4)

The fixed point in a dilation

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75

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center of rotation(ch 4)

the fixed point in a rotation

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76

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center of symmetry(ch 4)

the center of rotation in a figure that has rotational symmetry

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77

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component form(ch 4)

A form of a vector that combines the horizontal and vertical components

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78

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composition of transformations(ch 4)

a combination of two or more transformations to form a single transformation

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79

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congruence transformation(ch 4)

a transformation that preserves length and angle measure

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80

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congruent figures(ch 4)

geometric figures that have the same size and shape

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81

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dilation(ch 4)

A transformation in which a figure is enlarged or reduced with respect to a fixed point

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82

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enlargement(ch 4)

a dilation with a scale factor greater than 1

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83

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glide reflection(ch 4)

a transformation involving a translation followed by a reflection

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84

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horizontal component(ch 4)

The horizontal change from the starting point of a vector to the ending point

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85

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image(ch 4)

A figure that results from the transformation of a geometric figure

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86

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initial point(ch 4)

the starting point of a vector

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87

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line of reflection(ch 4)

A line that acts as a mirror for a reflection

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88

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line symmetry(ch 4)

A figure in the plane has line symmetry when the figure can be mapped onto itself by a reflection in a line.

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89

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line of symmetry(ch 4)

A line of reflection that maps a figure onto itself.

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90

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reduction(ch 4)

a dilation with a scale factor between 0 and 1

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91

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reflection(ch 4)

a transformation that uses a line like a mirror to reflect a figure

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92

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rigid motion(ch 4)

a transformation that preserves length and angle measure ex. translations, reflections, and rotations

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93

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rotation(ch 4)

A transformation in which a figure is turned about a fixed point

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94

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rotational symmetry(ch 4)

a figure has rotational symmetry when the figure can be mapped onto itself by a rotation of 180Â° or less about the center of rotation

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95

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scale factor(ch 4)

The ratio of the lengths of the corresponding sides of the image and the preimage of a dilation

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96

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similar figures(ch 4)

geometric figures that have the same shape but not necessarily the same size

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97

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similarity transformation(ch 4)

a dilation or a composition of rigid motions and dilations

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98

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terminal point(ch 4)

the ending point of a vector

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99

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transformation(ch 4)

a function that moves or changes a figure in some way to produce a new figure

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100

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translation(ch 4)

A transformation that moves every point of a figure the same distance in the same direction

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