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Chapter 3: Q1. (page 112)

Complete each statement with the word always, sometimes, or never.

Two lines that have no points in common are parallel.

Short Answer

Expert verified

Two lines that have no points in common are sometimes parallel.

Step by step solution

01

Step 1. Write the condition for parallelism.

The condition for parallelism will be satisfied when the two lines lie in one plane.

02

Step 2. Difference between parallel lines and skew lines.

The difference between the parallel lines and skew lines is that the parallel lines are those which do not intersect and lie in one plane but the skew lines are the lines that do not intersect but do not lie in one plane.

03

Step 3. Write the conclusion.

If the two lines do not have common point that is if the two lines are non-intersecting then the lines can be parallel or skew lines.

Therefore, if the two lines do not have common point then sometimes the lines can be parallel.

Therefore, two lines that have no points in common are sometimes parallel.

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