Postulates, Theorems, Properties

Question 1

Postulate 2

Segment addition postulate

Answer 1

If B is between A and C, then AB + BC= AC

If AB -BC =AC then B is between A and C

Question 2

Postulate 3

Protractor postulate

Answer 2

The measure of

Question 3

Postulate four

Angle addition postulate

Answer 3

If P is in the interior of

Question 4

Postulate 5

Answer 4

Through any two points exists exactly one line

Question 5

Postulate 6

Answer 5

A line contains at least two points

Question 6

Postulate 7

Answer 6

If two lines intersect, then their intersection is exactly one point

Question 7

Postulate 8

Answer 7

Through any three noncollinear points there exists one plane

Question 8

Postulate 9

Answer 8

A plane contains at Leary three noncollinear points

Question 9

Postulate 10

Answer 9

If two points lie in a plane then the line containing them lies in the plane

Question 10

Postulate 11

Answer 10

If two planes intersect then their intersection is a line

Question 11

Addition property

Answer 11

If A=B then A+C= B+C

Question 12

Subtraction property

Answer 12

A=B then A-C = B-C

Question 13

Multiplication property

Answer 13

If A=B then AC=BC

Question 14

Division property

Answer 14

If A=B and c doesn’t = 0 (undefined) then a/c = b/c

Question 15

Substitution

Answer 15

If A=B then A can be substituted for B

Question 16

Distributive property

Answer 16

a(b+c) = ab+ac

Question 17

Reflexive property of equality 
Real numbers
Segment length
Angel measure
Same as congruent just dif. sign

Answer 17

Real number: a=a
Segment: AB=AB
angle: m<a></a>

Question 18

Symmetric property of equality
RN
SM
AM
Same as congruent just dif. sign

Answer 18

RN: if a=b then b=a
SM: if AB=CD then CD=AB
AM: if mA=mB then mB=mA

Question 19

Transitive property of equality
RN
SM
AM
Same as congruent just dif. sign

Answer 19

If A=b and B=c then A=C

Question 20

Right angle congruence theorem

Answer 20

All right angles are congruent and angle measures

Question 21

Congruent supplements theorem

Answer 21

If two angles are supplementary (180) then they are congruent

Question 22

Congruent complements theorem

Answer 22

If two angles are complementary (90) to the same angle then they are congruent

Question 23

Vertical angles congruence theorem

Answer 23

Vertical angles are congruent

Question 24

Linear pair postulate

Answer 24

If two angles form a linear pair then they are supplementary
Have to show they are linear pair first

Question 25

Postulate one (ruler postulate)

Answer 25

The distance between points A and B is the absolute value of the difference of the coordinates of A and B

Question 26

OB BISECTS EF
then goes to
EO= OF

Answer 26

Definition of segment bisect or