Concept explainers
To explain: whether the contra positive, inverse and converse statements are must false,
if the conditional statement is false.
Explanation of Solution
Given information:
The given statement is “Conditional statement is false”
Consider the below conditional statement:
Conditional: If two lines are coplanar, then they do not intersect. false statement.
Converse: If two lines do not intersect, then they are coplanar. False statement.
Inverse: If two lines are not coplanar, then they intersect. False statement.
Contra positive: If two lines intersect, then they are not coplanar. False statement.
Hence, if the conditional statement is false, then contra positive, inverse and
converse statements also false.
Chapter 6 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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