Paper

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.”