P  Q P            . Q MP  (Modus Ponens)	P  Q ~Q          . ~P MT  (Modus Tollens)	P  Q ~P          . ~Q DA (Denying the Antecedent)	P  Q Q           .  P AC  (Affirming the Consequent)
Valid	Valid	Invalid	Invalid

Identify the arguments below as: MP, MT, DA or AC, then click here to check your answers.

1. If Michelangelo painted the ceiling of the Sistine Chapel, then he was familiar with stories from the Old Testament.  Michelangelo was familiar with stories from the Old Testament.  Therefore, Michelangelo painted the Sistine Chapel.

2. If TV viewing provides genuine relaxation, then TV enhances the quality of life.  But TV viewing does not provide genuine relaxation.  Therefore, TV does not enhance the quality of life.

3. Twenty percent of America’s children have never seen a dentist.  But if that is so, health care in America is not properly distributed.  Therefore, health care in America is not properly distributed.

4. If the Twenty-Second Amendment is repealed, then future presidents will be allowed to serve a third term.  The Twenty-Second Amendment will not be repealed.  Therefore, future presidents will not be allowed to serve a third term.

5. If it had rained last night, the lawn furniture would be wet.  The lawn furniture isn't wet.  Therefore, it didn't rain last night.