To complete: the given statement with the word always, sometimes or never.
Answer to Problem 36WE
sometimes
Explanation of Solution
Given:
The statement:
Two planes parallel to the same line are __________ parallel to each other.
A line and a plane which do not intersect each other are parallel.
Two planes which do not intersect each other are parallel.
Suppose the planes P and M are parallel to the same line l . So, it implies that line l do not intersect both the planes P and M . But nothing can be said that the planes intersect each other or not.
Thus, even if the planes parallel to the same line, those two planes can be parallel or intersect each other.
So, it can be said that,
Two planes parallel to the same line are sometimes parallel to each other.
Chapter 3 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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