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To complete: the given statement with the word always, sometimes or never.
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Answer to Problem 38WE
Sometimes
Explanation of Solution
Given:
The statement:
Lines in two parallel planes are __________ parallel to each other.
Two planes which do not intersect each other are parallel.
Parallel lines are those lines which are coplanar but do not intersect each other anywhere.
Now even if the two lines lie in two parallel planes, it is not necessary that they will also be parallel, that will hold only if it is possible to draw a plane through those lines.
In the figure below the planes
Here, the lines
So, it can be said that,
Lines in two parallel planes are sometimes parallel to each other.
Chapter 3 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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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
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