In a conditional statement, the statement that immediately follows the word then.
A statement of the form "If A, then B." The part following if is called the hypothesis. The part following then is called the conclusion.
An educated guess.
The statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.
The statement formed by interchanging the hypothesis and the conclusion of a conditional statement.
An example used to show that a given general statement is not always true.
In a conditional statement, the statement that immediately follows the word if.
Reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction. Conclusions arrived at by inductive reasoning lack the logical certainty of those arrived at by deductive reasoning.
The denial of a statement.
Law of Detachment
If p-->q is a true conditional and p is true, then q is true.
Law of Syllogism
If p-->q and q-->r are true conditionals, then p-->r is also true.
reasoning used to reach conclusions that must be true wherever the assumptions on which the reasoning is based are true
If - Then Statement
a compound statement of the form "If A, then B," where A and B are statements
to deny a statement is to negate a statement, (logic) a proposition that is true if and only if another proposition is false
a formal series of statements showing that if one thing is true something else necessarily follows from it
Two Column Proof
a type of proof written as numbered statements and reasons that show the logical order of an argument
A diagram that uses circles to display elements of different sets. Overlapping circles show common elements.
Addition and Subtraction Properties
If a = b, then a + c = b + c
If a = b, then a - c = b - c
a(b + c) = ab + ac
Multiplication and Division Properties
for all numbers a, b, and c if a=b then ac=bc and if c does not equal 0 then a/c=b/c
If a=b, then a can be substituted for b in any equation or expression
if a=b, then b=a
If a=b and b=c, then a=c
Segment Addition Postulate
If B is between A and C, then AB+BC=AC
If two angles form a linear pair, then they are supplementary angles,, Supplements of congruent angles are congruent
a pair of adjacent angles whose non-common sides are opposite rays
Segments that have the same length
A pair of opposite congruent angles formed by intersecting lines.
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