Postulates, Theorems, Properties Flashcards
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
Postulate 3
Protractor postulate
The measure of
Postulate four
Angle addition postulate
If P is in the interior of
Postulate 5
Through any two points exists exactly one line
Postulate 6
A line contains at least two points
Postulate 7
If two lines intersect, then their intersection is exactly one point
Postulate 8
Through any three noncollinear points there exists one plane
Postulate 9
A plane contains at Leary three noncollinear points
Postulate 10
If two points lie in a plane then the line containing them lies in the plane
Postulate 11
If two planes intersect then their intersection is a line
Addition property
If A=B then A+C= B+C
Subtraction property
A=B then A-C = B-C
Multiplication property
If A=B then AC=BC
Division property
If A=B and c doesn’t = 0 (undefined) then a/c = b/c
Substitution
If A=B then A can be substituted for B
Distributive property
a(b+c) = ab+ac
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<a></a>
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
Transitive property of equality RN SM AM Same as congruent just dif. sign
If A=b and B=c then A=C
Right angle congruence theorem
All right angles are congruent and angle measures
Congruent supplements theorem
If two angles are supplementary (180) then they are congruent
Congruent complements theorem
If two angles are complementary (90) to the same angle then they are congruent
Vertical angles congruence theorem
Vertical angles are congruent
Linear pair postulate
If two angles form a linear pair then they are supplementary
Have to show they are linear pair first
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
Converse
When you exchange your hypothesis and conclusion
Ex if the car is red then it flys
If the car flys then it is red
