# Shared Flashcard Set

## Details

geometry--vocabulary list 6 definitions
definition flashcards
9
Mathematics
04/13/2015

Term
 conditional statement
Definition
 a statement that can be written in the form “If p, then q,” where p is the hypothesis and q is the conclusionExample: If a vehicle is a long board, then the vehicle has four wheels.
Term
 hypothesis (of a conditional statement)
Definition
 the clause following the words “if a(n)” in a conditional statement
Term
 conclusion (of a conditional statement)
Definition
 the clause following the words “then the” in a conditional statement
Term
 Euler (or Venn) diagram
Definition
 A diagram composed of closed shapes used to illustrate the logical relationship among sets of objects. It is useful for illustrating conditional statements.
Term
 counterexample
Definition
 an object that proves a conditional statement false. The object must fit the hypothesis but not the conclusion.
Term
 converse (of a conditional statement)
Definition
 a conditional statement formed by switching the hypothesis and conclusion of a conditional statement. An original statement “If p then q” becomes “If q then p”
Term
 biconditional (statement)
Definition
 a conditional statement that is true both “forward” and “backward” and is written using “Iff” or “If and only if”Example:"A quadrilateral is a rectangle if and only if it has four right interior angles" or "Iff a quadrilateral is a rectangle, then it has four right interior angles."
Term
 inverse (of a conditional statement)
Definition
 a conditional statement formed by negating both the hypothesis and conclusion of a conditional statement. An original statement “If p then q” becomes “If not p then not q.”
Term
 contrapositive (of a conditional statement)
Definition
 a conditional statement formed by first negating both the hypothesis and conclusion of a conditional statement and then switching them. An original statement “If p then q” becomes “If not q then not p.” This form of a true conditional statement is always true.
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