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Conditional Statements

• Conditional Statements:   Are defined as “If then” statements or p->q
          -If being the hypothesis and then meaning the conclusion.
          - An example of this type of statement would be :

  “If two angles are congruent then they have equal measures.”
         
          -If being “two angles are congruent” and then being “they have equal measures.”

• Converse Statements: Are defined as switching the hypothesis with the conclusion or q->p
        -To write this type of statement you’d simply write:
           
      “If two angles have equal measures then they are congruent.”

• Inverse Statements: Are defines as if not hypothesis then not conclusion or ~p->~q
        -An example would be:

    “If two angles are not congruent then they do not have equal measures.”

• Contrapositive Statements: Have the same truth value as the original statement, and is written as ~q->~p
        -An example would be:

    “If two angles do not have equal measures then they are not congruent.”

• Biconditional Statements: Both the conditional and its converse must be true in order to write, otherwise known as p if and only if q.
      -An example would be:

  “Two angles are congruent if and only if they have equal measures.”