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geometry--vocabulary list 6 definitions
definition flashcards
9
Mathematics
10th Grade
04/13/2015

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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 conclusion

Example: 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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