What is contrapositive in geometry examples

Sure, the grass could get wet if we were watering the grass. But if the grass is not wet, it can't be raining. Otherwise, the grass would be wet.

To get a sense of why this would be so, the next example takes a closer look at the contrapositive. Your email address will not be published. Website Technical Requirements. The Infinite Series Module. Skip to content. Accessed 12 Nov. Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free! Log in Sign Up. Save Word. Definition of contrapositive. First Known Use of contrapositive , in the meaning defined above.

Learn More About contrapositive. Share contrapositive Post the Definition of contrapositive to Facebook Share the Definition of contrapositive on Twitter. Time Traveler for contrapositive The first known use of contrapositive was in See more words from the same year. To form the converse of the conditional statement, interchange the hypothesis and the conclusion. The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains.

To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion. To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of "If it rains, then they cancel school" is "If they do not cancel school, then it does not rain.

If the statement is true, then the contrapositive is also logically true. If the converse is true, then the inverse is also logically true. In the above example, since the hypothesis and conclusion are equivalent, all four statements are true. But this will not always be the case! Names of standardized tests are owned by the trademark holders and are not affiliated with Varsity Tutors LLC.