Postulate And Theorems Hg

Front 1

Postulate 2.1: Through any 2 points ________

Back 1

there exists one line.

Front 2

Postulate 2.3: A line contains ______

Back 2

at least 2 points.

Front 3

Postulate 2.6: If two lines intersect, _____

Back 3

then their intersection is exactly one point.

Front 4

Postulate 2.2: Through any three noncollinear points _____

Back 4

there exists exactly one plane.

Front 5

Postulate 2.4: A plane contains ____

Back 5

at least three noncollinear points.

Front 6

Postulate 2.5: If two points lie in a plane, ____

Back 6

then the line containing them lies in the plane.

Front 7

Postulate 2.7: If two planes intersect, ____

Back 7

then their intersection is a line.

Front 8

Theorem 2.1: Midpoint Theorem: If M is the midpoint of AB

Back 8

then AM is congruent to MB

Front 9

AB=AB

Back 9

Theorem 2.2 Segment Congruence: Reflexive Property

Front 10

if ab=cd and cd=ef than ab=ef

Back 10

Theorem 2.2 Segment Congruence, Transitive Property

Front 11

if AB=CD then CD=AB

Back 11

Theorem 2.2 Segment Congruence, Symmetric Property

Front 12

Postulate 2.8: The points on any line or line segment

Back 12

can be put into one-to-one correspondence with real nunbers

Front 13

Postulate 2.9 If A,B, and C are collinear the point B is between A and C

Back 13

If AB + BC = AC

Front 14

Postulate 2.10: Given andy angle, the measure can be put

Back 14

into one-to-one correspondence with real numbers between 0 and 180 degress

Front 15

Postulate 2.11: D is in the interior of the ange ABC

Back 15

if Angle ABD + Angle DBC = Angle ABC

Front 16

Postulate 3.1: If two parallel lines are cut be a transversal

Back 16

then each pair of corresponding angles is congruent

Front 17

Postulate 3.2: slope of parrallel lines

Back 17

2 non vertical lines have the same slope if they are parallel

Front 18

Postulate 3.3: slope of perpendicular lines

Back 18

2 non vertical lines are perpendicular if the product of their slopes in -1

Front 19

Postulare 3.4: If lines are cut by a transversal such that corresponding angles are congruent

Back 19

then lines are parallel

Front 20

Theorem 3.9 Two lines equidistant from a third

Back 20

In a plane, if 2 lines are equidistant from a third, then the 2 lines are parallel to each other

Front 21

Theorem 3.8 Perpendicular Transversal

Back 21

In a plane, if 2 lines are perpendicular to athe same line then they are parallel

Front 22

Theorem 3.7, alternate Interior Angles

Back 22

If 2 lines in a plan are cut by a transversal so that a pair of alternate interior angles is congrunet, the lines are parallel

Front 23

Theorem 3.6 Consecutive Interior Angles

Back 23

If 2 lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary, then the lines are parallel.

Front 24

Theorem 3.5 Alternate Exterior Angles

Back 24

If 2 lines in a plan are cut by a transversal so that a pair of alternate exterior angles is congruent, then the 2 lines are parallel

Front 25

Theorem 3.4 Perpendicular Transversal

Back 25

In a plane, if a line is perpendicular to one of 2 parallel lines, then it is perpendicular to the other

Front 26

Theorem 3.3 Alternate Exterior Angles

Back 26

If 2 parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent

Front 27

Theorem 3.2 Consecutive Interior angles

Back 27

If 2 parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary

Front 28

Theorem 3.1 Alternate Interior angles

Back 28

If 2 parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent

Front 29

Theorem 2.13 If 2 congrent angles for a linear pair

Back 29

then they are right angles

Front 30

Theorem 2.12 If 2 Angles are congruent and supplementary

Back 30

then each angle is a right angle

Front 31

Theorem 2.11

Back 31

Perpendicular lines form congruent right angles

Front 32

Theorem 2.10

Back 32

All right angles are congruent

Front 33

Theorem 2.9

Back 33

Perpendicular lines intersect to for four right angles

Front 34

Theorem 2.8 Vertical Angles

Back 34

If 2 angles are vertical angles, they are congruent

Front 35

Theorem 2.7 Congruent Complements

Back 35

Angles complementary to the same angle or to congruent angles are congruent

Front 36

Theorem 2.6 Congruent Supplements

Back 36

Angles supplementary to the same angle or to congruent angles are congruent

Front 37

Theorem 2.5 Transitive Property of Congruence #3

Back 37

If Angle 1 congruent to Angle 2 and Angle 2 congrent to Angle 3 then Angle 1 congruent to angle 3

Front 38

Theorem 2.5 Symetric Property of Congruence #2

Back 38

If Angle 1 congruent to Angle 2 then Angle 2 congruent to Angle 1

Front 39

Theorem 2.5 Reflexive Property of Congruence #1

Back 39

Angle 1 congruent to Angle 1

Front 40

Theorem 2.4 Complement

Back 40

If the non common sides of two adjacent angles form a right angle then the angles are complementary

Front 41

Theorem 2.3 Supplementary

Back 41

If 2 angles form a linear pair, then they are supplementary

Front 42

Theorem 2.2 Transitive Property #3

Back 42

If AB = CD and CD = EF the AB= EF

Front 43

Theorem 2.2 Symmetric Propert #2

Back 43

If AB=CD them CD=AB

Front 44

Theorem 2.2 Reflexive Property #1

Back 44

AB=AB