Math Properties Flashcards
Points, Postulate 5
Through any two points exists exactly one line
Line, Postulate 6
A line contains at least two points
Line intersection, Postulate 7
If two lines intersect, then there intersection is exactly one point
Non- Collinear, Postulate 8
Through any three non collinear points there exists exactly one plane
Planes, Postulate 9
A plane contains at least three non collinear points
Points in a plane, Postulate 10
If two points lie in a plane, then the line containing them lies in the plane
Intersecting Planes, Postulate 11
If two planes intersect, then their intersection is a line
Addition Property
If a= b then a+ c = b+c
Subtraction Property
If a= b, then a- c = b- c
Multiplication Property
If a= b then ac= bc
Division Property
If a= b and c does NOT = 0 then a divided by c= b divided by c
Reflexive Property
For any real number a, a= a
Transitive Property
If a= b and b= c, then a= c
Symmetric Property
If a= b then b=a
Substitution Property
If a= b, then
Conditional Statement
Statement that has two parts, hypothesis and Conclusion
If-then form
The “if” part contains the hypothesis while the “then” part contains the conclusion
Hypothesis, conclusion
If it is noon in Georgia then it is 9 AM in California.
Hypothesis: The if part, Conclusion: The then part. The hypothesis is, it is noon in Georgia. The conclusion is its 9 A.M in California.
Converse
Switching the order of the hypothesis and conclusion
Negation
Writing the negative of the statement
Inverse
Writing the nation of a conditional statement
Contrapositive
The inverse and the converse of the original, so flipping and negation
Equivalent Statements
When a statement is both true or false, the inverse and converse of a statement are equivalent
Perpendicular Lines
Lines that intersect to form a right angle
