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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 3: Q39 (page 77)

Complete each statement with the word always, sometimes, or never.
Two lines parallel to the same plane are $?$ parallel to each other.

Short Answer

Expert verified

Two lines parallel to the same plane are sometimes parallel to each other.

Step by step solution

01

Step 1. Description of step.

The parallel lines are the lines that lies on the same plane and never intersect each other.

02

Step 2. Description of step.

The figure showing the plane $X$ and the lines $A B$ and $C D$ that are parallel to the plane $X$ is:

From the diagram it can be observed that if the two lines are parallel to the same plane then it is not necessary that the lines will be parallel to each other.

03

Step 3. Write the complete statement.

Two lines parallel to the same plane are sometimes parallel to each other.

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Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

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