Different Forms of Conditional Statements

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Presentation transcript:

Different Forms of Conditional Statements

Converse: q  p pq If two angles are vertical, then they are congruent. qp If two angles are congruent, then they are vertical.

Inverse: ~p~q pq If two angles are vertical, then they are congruent. ~p~q If two angles not are vertical, then they are not congruent.

Contrapositive:~q~p pq If two angles are vertical, then they are congruent. ~q~p If two angles not are congruent, then they are not vertical.

Contrapositives are logically equivalent to the original conditional statement. If pq is true, then qp is true. If pq is false, then qp is false.

Biconditional When a conditional statement and its converse are both true, the two statements may be combined. Use the phrase if and only if (iff)

Definitions are always biconditional Statement: If an angle is right then it has a measure of 90. Converse: If an angle measures 90, then it is a right angle. Biconditional: An angle is right iff it measures 90