Math

Front 1

an unproven statement that is based on observations

Back 1

conjecture

Front 2

an example that shows a conjecture is false

Back 2

counterexample

Front 3

has no dimensions

Back 3

point

Front 4

extends in one dimension

Back 4

line

Front 5

extends in two dimensions

Back 5

plane

Front 6

points that lie on the same line

Back 6

collinear points

Front 7

points that lie on the same plane

Back 7

coplanar points

Front 8

one or more points in common

Back 8

intersect

Front 9

rules that are accepted without proof

Back 9

postulates

Front 10

formula for computing the distance between two points in a coordinate plane

Back 10

distance formula

Front 11

consists of two different rays that have the same initial point

Back 11

angle

Front 12

the rays are the __ of the angle

Back 12

sides

Front 13

the initial point

Back 13

vertex

Front 14

angles that have the same measure

Back 14

congruent angles

Front 15

between points that lie on each side of the triangle

Back 15

interior

Front 16

is not on the angle or in its interior

Back 16

exterior

Front 17

less than 90 degrees

Back 17

acute

Front 18

90 degrees

Back 18

right

Front 19

greater than 90 degrees

Back 19

obtuse

Front 20

180 degrees

Back 20

straight

Front 21

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

Back 21

adjacent angles

Front 22

the point that divides the segments into two congruent segments

Back 22

midpoint

Front 23

a segment, ray, line, or plane that intersects a segment at a midpoint

Back 23

segment bisector

Front 24

x one plus x two divide by two, y one plus y two divided by 2.

Back 24

midpoint formula

Front 25

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

Back 25

angle bisector

Front 26

two angles whose sides form two pairs of opposite rays

Back 26

vertical angles

Front 27

two adjacent angles whose noncommon sides are opposite rays

Back 27

linear pair

Front 28

two angles whose sum is 90

Back 28

complementary angles

Front 29

two angles whose sum is 180

Back 29

supplementary angles

Front 30

has two parts, a hypothesis and a conclusion

Back 30

conditional statement

Front 31

"if"

Back 31

hypothesis

Front 32

"then"

Back 32

conclusion

Front 33

a statement formed by switiching the hypothesis and conclusion

Back 33

converse

Front 34

a statement that is altered by writing the negative of the statement

Back 34

negation

Front 35

statement formed when the hypothesis&conclusion are negated

Back 35

inverse

Front 36

when the hypothesis and conclusion of the converse of a conditional is negated (flip, change)

Back 36

contrapositive

Front 37

two lines that intersect to form a right angle

Back 37

perpendicular lines

Front 38

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

Back 38

biconditional statement

Front 39

if p->q and q->r are true statements then p->r is true

Back 39

law of syllogism

Front 40

if p->q is a true statement and p is true, then q is true

Back 40

law of detachment

Front 41

a true statement that follows as a result of other true statements

Back 41

theorem

Front 42

angle congruence is reflexive, symmetric, and transitive

Back 42

theorem 2.2 properties of angle congruence

Front 43

all right angles are congruent

Back 43

theorem 2.3 right angle congruence

Front 44

if two angles are supplementary to the same angle then they are congruent

Back 44

theorem 2.4 congruent supplements

Front 45

if two angles are complementary to the same angle then they are congruent

Back 45

theorem 2.5 congruent complements

Front 46

vertical angles are congruent

Back 46

theorem 2.6 vertical angles

Front 47

two lines that are coplanar and do not intersect

Back 47

parallel lines

Front 48

lines that do not intersect and are not coplanar

Back 48

skew lines

Front 49

two planes that do not intersect

Back 49

parallel planes

Front 50

if two angles form a linear pair, then they are supplementary

Back 50

linear pair postulate

Front 51

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

Back 51

transversal

Front 52

two angles that occupy corresponding posistions

Back 52

corresponding angles

Front 53

two angles that lie outside the two lines on opposite sides of the transversal

Back 53

alternate exterior

Front 54

two angles that lie between the two lines on opposite sides of the transversal

Back 54

alternate interior

Front 55

two angles that lie between the two lines on the same side of the transversal

Back 55

consecutive interior or same side interior

Front 56

if two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular

Back 56

theorem 3.1

Front 57

if two sides of two adjacent acute angles are perpendicular, then the angles are complementary

Back 57

theorem 3.2

Front 58

if two lines are perpendicual, then they intersect to for four right angles

Back 58

theorem 3.3

Front 59

if two parallel lines are cut by a transversal then the pairs of alternate interior angles are congruent

Back 59

alternate interior angles theorem

Front 60

if two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary

Back 60

consecutive interior angles theorem

Front 61

if two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent

Back 61

alternate exterior angles theorem

Front 62

if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other

Back 62

perpendicular transversal theorem

Front 63

if two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel

Back 63

alternate interior angles converse

Front 64

if two lines are cut by a transversal so that consecutive interior angles are supplementary, then the lines are parallel

Back 64

consecutive interior angles converse

Front 65

if two lines are cut by a transversal so that alternate exterior angles are congruent then the lines are parallel

Back 65

alternate exterior angles converse

Front 66

if two lines are parallel to the same line, then they are parallel to each other

Back 66

theorem 3.11

Front 67

in a aplane, if two lines are perpendicular to the same line, then they are parallel to each other

Back 67

theorem 3.12

Front 68

the sum of the measures of the interior angles of a triangle is 180

Back 68

theorem 4.1 triangle sum theorem

Front 69

the measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles

Back 69

theorem 4.2 exterior angle theorem

Front 70

the acute angles of a right triangle are complementary

Back 70

corollary to the triangle sum theorem

Front 71

if two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent

Back 71

third angles theorem

Front 72

if three sides of one triangle are congruent to three sides of a second triangle then the two triangles are congruent

Back 72

sss

Front 73

if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent

Back 73

sas

Front 74

if 2 angles and the included side of one triangle are congruent to two angles and the included side of a second triangle then the two triangles are congruent

Back 74

asa

Front 75

if two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of another triangle then they are congruent

Back 75

aas

Front 76

if 2 sides of a triangle are congruent, then the angles opposite them are congruent

Back 76

base angles theorem

Front 77

if wo angles of a triangle are congruent, then the sides opposite them are congruent

Back 77

base angle converse

Front 78

if a point is on the bictor of an angle, then it is equidistant from the two sides of the angle

Back 78

angle bisector theorem

Front 79

if a point is in the interior of an angle and is equdistan from the sides of the angle, then it lies on the biesector of the angle

Back 79

convers of angle bisector theorem

Front 80

a line that is perpendicular to ide of the triangle at the midpoint of the side

Back 80

perpendicular bisector of triangle

Front 81

three or more lines intersect in the same point

Back 81

concurrent ines

Front 82

the point of intersection of the lines

Back 82

point of concurrency

Front 83

the point of concurrency ofthe perpendicular bisectors of a triangle; equidistant from the verticies

Back 83

circumcenter

Front 84

the perp. bisectors of a triangle intersect at a ponint that is equdistant from the verticies of a triangle

Back 84

concurrency of perp. bisect. of a triangle

Front 85

the point of concurrency of the angle bisectors of a triangle; equidistant from sids

Back 85

incenter

Front 86

the angle bisectors of a triangle intersect at a point that is equidistant from the sides of a triangle

Back 86

concurrency of angle bisector

Front 87

a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side

Back 87

median

Front 88

the three medians of a triangle are concurrent. the point of concurrency

Back 88

centroid

Front 89

the medians of a triangle intersect at a point that is two thirds of the distance from each vertex to the midpoint of the opposite side

Back 89

concurrency of medians

Front 90

the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side

Back 90

altitude

Front 91

the lines contaning the altitudes are concurrent and intersect at a point called ____

Back 91

orthocenter

Front 92

the lines containing the altitudes of a triangle are concurrent

Back 92

concurrency of altitides of triangle

Front 93

a segment that connects the midpoints of two sides of a triangle

Back 93

midsegment

Front 94

the segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long

Back 94

midsegment theorem