Geometry: Logic Statements
Terms
Conclusion
-
The clause of a conditional statement that begins with "then."
Conditional Statement
-
A statement with "if-then" structure; it has an "if" clause and a "then"
clause.
Conjunction
-
Two statements joined by the word "and" into a single statement;
pâàçq
.
Contrapositive
-
A conditional statement whose hypothesis and conclusion were
negated and switched. Given
pâàçq
, the contrapositive is
âàüqâàçâàüp
.
Converse
-
A statement whose hypothesis and conclusion were switched. Given
pâàçq
, the converse is
qâàçp
.
Declarative Sentence
-
A sentence that asserts a fact; a sentence that states something.
Disjunction
-
Two statements joined by the word "or" into a single statement;
pâàèq
.
Hypothesis
-
The clause preceded by "if" in a conditional statement; it states the
condition.
Implication
-
Two statements combined into one, in which one statement is preceded by the word
"if" and the other statement is preceded by the word "then." Through
implication, conditional statements are formed.
Inverse
-
A statement whose hypothesis and conclusion were both negated.
Given
pâàçq
, the inverse is
âàüpâàçâàüq
.
Negation
-
The opposite of a statement; its truth value is the opposite of the original
statement.
Statement
-
A declarative sentence that is definitely either true or false.
Truth Table
-
A table, or chart, that displays the truth values for the statements in
it for every possible scenario.
Truth Value
-
The truth or falsehood of a statement. Every statement has exactly one of
two truth values: either true or false (T or F).
