Equality
This property that states if a = b then a + c = b + c
What is the Addition Property of Equality?
What is definition of congruence?
The hypothesis of a conditional statement always follows this word.
What is if?
This is the phrase that a biconditional statement needs.
What is "if and only if, or iff"?
This is what backs up a theorem.
What is a proof?
This property that states if a = b then b = a.
What is Symmetric Property of Equality?
This property allows me to say <XYZ is congruent to <XYZ.
What is the Reflexive Property of Congruence.
The conclusion of a conditional statement always follows this word.
What is then?
This is what must be true in a biconditional.
What is the conditional AND the converse?
We write theorems in this column on a two-column proof.
What is Justification?
This property states if a = b and b = c then a = c.
What is the Transitive Property of Equality?
This property states if <ABC is congruent to <QRS then <QRS is congruent to <ABC.
What is Symmetric Property of Congruence?
Snowing happens if it is cold outside. This is the hypothesis.
What is "It is cold outside"?
This is the biconditional to the statement "If it is a fraction then it is a rational number."
What is "A number is a fraction iff it is a rational number."?
This theorem states if two angles form a linear pair then they are supplementary.
What is linear Pair Theorem?
This property justifies the following:
x/3 = 4
3*(x/3) = 4*3
What is the Multiplication Property of Equality?
This property justifies the following:
<1 is congruent to <2 and <2 is congruent to <3. Therefore <1 is congruent to <3
What is Transitive Property of Congruence?
The converse is: If it is spooky time then it is Halloween. To this Conditional Statement.
What is "If it is Halloween then it is spooky time."?
This is the biconditional to "A right angle is 90 degrees"
What is "An angle is a right angle iff it is 90 degrees"?
This theorem states if two angles are supplementary to the same angle then they are congruent.
What is Congruent Supplement Theorem?
This Property justifies the following:
x + 7 = y, x = 8
8 + 7 = y
What is the Substitution Property of Equality?
This theorem states if two angles are complementary to the same angle then the two angles are congruent.
What is Congruent Complements Theorem?
The Conditional: If it is a tree then it is a plant. This is the inverse to the statement.
What is "If it is not a tree then it is not a plant."?
This is the biconditional to the statement to "I would have gotten away with it if it weren't for you meddlin' kids".
What is "I would have gotten away with it iff it weren't for you meddlin' kids"?
<1 and <4 are complementary, <3 and <4 are also complementary. This theorem states that <1 is congruent to <3.
What is Congruent Complements Theorem?