Modus Ponens and Modus Tollens

Using modus ponens or modus tollens, complete the following arguments.

  1. If this student is honest, she will not try to cheat when she takes a test.
    This student tried to cheat on a test.
      ___________________________________ by modus ______________

  2. If it is raining today, I will take my umbrella.
    It is raining today.
    _____________________________________  by modus _______________

  3. (ab) cb
    by modus _______________
  4. I always bring my lunch on Monday.
    I will buy my lunch today.
    _____________________________________   by modus _______________