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Chapter 6: Q2. (page 212)

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

Two lines parallel to the same plane _____ intersect.

Short Answer

Expert verified

The complete statement is 鈥淭wo lines parallel to the same plane never intersect鈥�.

Step by step solution

01

Step 1. Apply the concept of parallel lines.

If two lines in a plane do not intersect and coplanar, they are parallel. If two lines in space and not in the same plane do not intersect, they are skew.

02

Step 2. Step description.

The lines which are coplanar and parallel always intersect each other. Parallel lines are lines in a plane that are always the same distance apart.

03

Step 3. Step description.

Since the two lines parallel in the same plane thus the lines never intersect.

Therefore, the statement is 鈥淭wo lines parallel to the same plane never intersect鈥�.

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