Contrapositive Statement

A contrapositive statement is when you take a converse statement and negate it by adding the word “not” to it. So, if the converse statement is “If a shape is a quadrilateral then it has four sides” the contrapositive statement would be “If a shape is not a quadrilateral then it does not have four sides.” The contrapositive statement is symbolized as:

~q → ~p

where

is the conditional statement’s conclusion.

is the conditional statement’s hypothesis.