I'm Your Property
This property states that a mathematical quantity is equal to itself.
Reflexive or Identity property of equality
If 5x + m = 10 and x=4, then 5•4 + b = 10
substitution property
This definition states that if two segments are congruent iff they have equal lengths.
congruent segments
This type of statement can be used to prove a statement is false.
counterexample
This property of equality states that if two quantities are equal to the same quantity, then they are equal to each other.
transitive property
3(x+2y) = 3x+6y
distributive property
This special angle pair is always formed by adjacent supplementary angles.
linear pair
This part of a conditional statement is the given facts.
hypothesis
This property states that equations can be turned around.
symmetric property
3x + 5 = 12
5 = 5
3x = 7 (?)
subtraction property
The vertical angle theorem states this.
All vertical angles are congruent.
This phrase indicates that a statement is biconditional.
iff
This property of equality states that you may take a root of both sides of an equation.
root property
3x + 5 = 12
-5 = -5
3x = 7 (?)
addition property
In non-mathematical terms, this postulate says that the sum of all the pieces of a line segment equal the length of the entire segment.
segment addition postulate
What is the converse of "If Mr E is crazy, then he should be locked up."
"If Mr E should be locked up, then he is crazy."
This property states that you can subtract any equation by any other equation.
subtraction property
x2 = 9
x = +-3
root property
These angles always speak nicely to one another, and their sum is always 90 degrees.
complementary angles
This type of logical statement is logically equivalent to the original conditional statement.
contrapositive