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To classify: whether the conditional statement is true or false, then state the inverse and contra positive also classify the inverse of the contra positive as true or false.
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Answer to Problem 8CE
The given statement is true.
If two planes intersect, then they are not parallel-true.
If two planes are not parallel, then they intersect-true.
Explanation of Solution
Given information:
Given statement,
If two planes do not intersect, then they are parallel.
Calculation: If two planes do not intersect, then they are parallel.
Evaluate conditional as true or false and for its inverse and contra positive also.
The given statement is true.
The inverse is as follows:
If two planes intersect, then they are not parallel-true.
The contra positive is
If two planes are not parallel, then they intersect-true.
Chapter 6 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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