Flashcards in Postulates, Theorems, Properties Deck (26):

1

##
Postulate 2

Segment addition postulate

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

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

2

##
Postulate 3

Protractor postulate

### The measure of

3

##
Postulate four

Angle addition postulate

### If P is in the interior of

4

## Postulate 5

### Through any two points exists exactly one line

5

## Postulate 6

### A line contains at least two points

6

## Postulate 7

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

7

## Postulate 8

### Through any three noncollinear points there exists one plane

8

## Postulate 9

### A plane contains at Leary three noncollinear points

9

## Postulate 10

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

10

## Postulate 11

### If two planes intersect then their intersection is a line

11

## Addition property

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

12

## Subtraction property

### A=B then A-C = B-C

13

## Multiplication property

### If A=B then AC=BC

14

## Division property

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

15

## Substitution

### If A=B then A can be substituted for B

16

## Distributive property

### a(b+c) = ab+ac

17

##
Reflexive property of equality

Real numbers

Segment length

Angel measure

Same as congruent just dif. sign

18

##
Symmetric property of equality

RN

SM

AM

Same as congruent just dif. sign

###
RN: if a=b then b=a

SM: if AB=CD then CD=AB

AM: if mA=mB then mB=mA

19

##
Transitive property of equality

RN

SM

AM

Same as congruent just dif. sign

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

20

## Right angle congruence theorem

### All right angles are congruent and angle measures

21

## Congruent supplements theorem

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

22

## Congruent complements theorem

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

23

## Vertical angles congruence theorem

### Vertical angles are congruent

24

## Linear pair postulate

###
If two angles form a linear pair then they are supplementary

Have to show they are linear pair first

25

## Postulate one (ruler postulate)

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

26