Geometry

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48 Terms

1

point

an exact location in space

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2

line

an object with no thickness that extends infinitely in two directions

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3

ray

part of a line consisting of one endpoint and continues in one direction

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4

line segment

A part of a line consisting of two endpoints

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5

opposite ray

ray that shares an endpoint that continue infinitely in opposite directions

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6

plane

a flat surface that extends infinitely in all directions

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7

collinear

points that lie on the same line

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8

non collinear

points that don't lie on the same line

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9

coplanar

points that lie on the same plane

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10

non coplanar

points that don't lie on the same plane

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11

segment addition postulate

if point b lies on segment AC the AB+BC=AC

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12

segment bisector

a line, ray, or segment that divides a line segment in two equal parts

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13

midpoint of a segment

a point that divides a line in two equal parts

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14

angle addition postulate

if k is in the interior <HIJ then <HIK+<KIL=<HIJ

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15

angle bisector

a ray that divides an angle into two congruent angles

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16

verticle angles

two angles across from each other on intersecting lines, they are always congruent

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17

adjacent angles

two angles that are next to each other and share a common side

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18

complementary angles

any two angles whose sum is 90 degrees

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19

supplementary angles

any two angles whose sum is 180 degrees

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20

linear pair

any two angles that are adjacent and supplementary , they form a straight line

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21

corresponding angles

congruent

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22

alternate interior angles

congruent *set = to each other

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23

alternate exterior angles

congruent *set = to each other

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24

consecutive exterior angles

supplementary *add to 180

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25

consecutive interior angles

supplementary *add to 180

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26

inductive reasoning

A type of reasoning that involves drawing a likely conclusion from a set of specific observations

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27

deductive reasoning

the process of drawing conclusions based on statements we assume to be true, based on facts

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28

angle

a figure formed by two rays with a common endpoint

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29

angle congruence

angles that are identical to each other

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30

biconditional

a statement that contains the phrase if and only if. this implies that both a conditional statement and its converse is true

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31

complement

the amount you must add to make it whole

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32

conclusion

comes after the then in a conditional statement

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33

conditional statement

a logical statement that has two parts

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34

congruent

same size and shape

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35

conjecture

to guess

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36

contrapositive

when the hypothesis and conclusion of a conditional statement are switched and negated

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37

converse

when the hypothesis and conclusion of a conditional statement are switched

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38

hypothesis

statement which is supported by data

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39

counterexample

an example that proves that a conjecture or statement is false

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40

if then statements

hypothesis followed by an conclusion

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41

intersection

a point where lines intersect.

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42

inverse

when the hypothesis and conclusion of a conditional statement are switched

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43

paraell lines

lines that never intersect

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44

perpendicular lines

lines that intersect to form right angles

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45

postulate

a statement that is accepted as true without proof

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46

segment congruence

segments that have the same length

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47

transversal

a line that cuts two or more lines

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48

vertex of an angle

point where an angle is measured

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