Postulates, Theorems, Properties Flashcards Preview

Honors Geometry > Postulates, Theorems, Properties > Flashcards

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

Real number: a=a
Segment: AB=AB
angle: m

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

OB BISECTS EF
then goes to
EO= OF

Definition of segment bisect or