Postulates, Theorems, Properties Flashcards

1
Q

Postulate 2

Segment addition postulate

A

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

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

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2
Q

Postulate 3

Protractor postulate

A

The measure of

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3
Q

Postulate four

Angle addition postulate

A

If P is in the interior of

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4
Q

Postulate 5

A

Through any two points exists exactly one line

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5
Q

Postulate 6

A

A line contains at least two points

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6
Q

Postulate 7

A

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

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7
Q

Postulate 8

A

Through any three noncollinear points there exists one plane

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8
Q

Postulate 9

A

A plane contains at Leary three noncollinear points

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9
Q

Postulate 10

A

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

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10
Q

Postulate 11

A

If two planes intersect then their intersection is a line

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11
Q

Addition property

A

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

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12
Q

Subtraction property

A

A=B then A-C = B-C

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13
Q

Multiplication property

A

If A=B then AC=BC

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14
Q

Division property

A

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

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15
Q

Substitution

A

If A=B then A can be substituted for B

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16
Q

Distributive property

A

a(b+c) = ab+ac

17
Q
Reflexive property of equality 
Real numbers
Segment length
Angel measure
Same as congruent just dif. sign
A

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

18
Q
Symmetric property of equality
RN
SM
AM
Same as congruent just dif. sign
A

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

19
Q
Transitive property of equality
RN
SM
AM
Same as congruent just dif. sign
A

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

20
Q

Right angle congruence theorem

A

All right angles are congruent and angle measures

21
Q

Congruent supplements theorem

A

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

22
Q

Congruent complements theorem

A

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

23
Q

Vertical angles congruence theorem

A

Vertical angles are congruent

24
Q

Linear pair postulate

A

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

25
Q

Postulate one (ruler postulate)

A

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

26
Q

Converse

A

When you exchange your hypothesis and conclusion
Ex if the car is red then it flys
If the car flys then it is red