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Chapter 3: Q3CUR. (page 114)

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

3. If a鈯�c and b鈯�c, then a and b are _______ parallel.

Short Answer

Expert verified

The sentence is:

If a鈯�cand b鈯�c, then a and b are sometimes parallel.

Step by step solution

01

Step 1. Define parallel lines and perpendicular lines.

Parallel lines are lines in a plane that are the same distance apart always.

Perpendicular lines are the lines that cross at 90掳.

02

Step 2. State the explanation.

Consider the case, skew lines a and b, they are both perpendicular to c, but not parallel.

So, if a鈯�cand b鈯�c , then a and b are sometimes parallel.

Here, the correct word is sometimes.

03

Step 3. State the conclusion.

Therefore, the statement is:

If a鈯�cand b鈯�c, then a and b are sometimes parallel.

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