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Logic Laws: Converse, Inverse, Contrapositive & Counterexample

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

In the following statement, which part is the hypothesis?

If all mammals are animals, then dogs are animals.

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1. The converse of a logical statement is found by doing what?

2.

Which of the following is the inverse of the below argument?

If I am in Kansas, then I'm in the United States.

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About This Quiz & Worksheet

Logical fallacies take four forms in mathematics, and this quiz and worksheet combination will help you test your understanding of the ways in which you could encounter logical equivalence issues in mathematics. The questions on the quiz will test you on identifying logical fallacies and your understanding of these fallacies.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Identifying which of the four fallacies is at work in a problem
  • Providing and identifying counterexamples of statements
  • Writing the inverse of a statement

Skills Practiced

This quiz and worksheet will allow you to test the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on logical equivalence
  • Interpreting information - verify that you can read information regarding logical fallacies and interpret it correctly
  • Distinguishing differences - compare and contrast topics from the lesson, such as the four fallacies discussed in the lesson
  • Information recall - access the knowledge you've gained regarding logical fallacies

Additional Learning

To learn more about logical equivalence in math, review the accompanying lesson called Logical Equivalence: Converse, Inverse, Contrapositive & Counterexample. This lesson covers the following objectives:

  • Define logical fallacies
  • Differentiate between the converse, inverse, contrapositive, and counterexample
  • Understand each of these individual fallacies and how to identify them
  • Examine examples of logical fallacies
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