Concept explainers
The solution of the statement of indirect proof.
Explanation of Solution
Given information:
Write an indirect proof to show that if
Calculation:
In an indirect proof or proof by contradiction, assume that the conclusion is false. By showing the assumption to be logically impossible, prove the assumption is false and the original conclusion is true. For this problem, assume that
Given:
Prove:
Following steps are used for the indirect proof are as shown below:
Firstly, assume that
Secondly,
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning