#Converse geometry examples how to

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Varsity Tutors connects learners with a variety of experts and professionals. Varsity Tutors does not have affiliation with universities mentioned on its website. Learn the examples of converses, inverses, and contrapositives that are included. Media outlet trademarks are owned by the respective media outlets and are not affiliated with Varsity Tutors.Īward-Winning claim based on CBS Local and Houston Press awards. A conditional statement has a converse, an inverse, and a contrapositive. Names of standardized tests are owned by the trademark holders and are not affiliated with Varsity Tutors LLC.Ĥ.9/5.0 Satisfaction Rating based upon cumulative historical session ratings through 12/31/20. If the converse is true, then the inverse is also logically true. If the statement is true, then the contrapositive is also logically true. 'If they do not cancel school, then it does not rain.' To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement.

#Converse geometry examples how to

Learn about the properties of parallel lines and how to use converse statements to prove lines.

“If it does not rain, then they do not cancel school.” Converse statements are often used in geometry to prove that a set of lines are parallel. To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion. To form the converse of the conditional statement, interchange the hypothesis and the conclusion. For instance, “If it rains, then they cancel school.” ,' we can create three related statements:Ī conditional statement consists of two parts, a hypothesis in the “if” clause and a conclusion in the “then” clause.