**Parallel** lines are 2 or even more lines that lie in the exact same aircraft and also never intersect. To display that lines are parallel, arrows are offered.

You are watching: Planes q and r are parallel. explain how you know lines a and b are skew.

*Label It*

*Say It*(overleftrightarrowAB parallel overleftrightarrowMN) | Line (AB) is parallel to line (MN) |

(lparallel m) | Line (l) is parallel to line (m). |

In the meaning of parallel the word “line” is used. However before, line segments, rays and planes can additionally be parallel. The image listed below mirrors 2 parallel planes, with a third blue airplane that is perpendicular to both of them.

Figure (PageIndex2)**Skew** lines are lines that are in different planes and also never before intersect. They are different from **parallel lines** bereason parallel lines lie in the SAME aircraft. In the cube below, (overlineAB) and (overlineFH) are skew and also (overlineAC) and (overlineEF) are skew.

then

Figure (PageIndex5)Postulate: For any kind of line and a suggest ** not** on the line, there is one line parallel to this line with the suggest. Tbelow are infinitely many kind of lines that go with (A), but only

**that is parallel to (l).**

*one*A **transversal** is a line that intersects 2 various other lines. The location *between* (l) and (m) is the *interior*. The location *outside* (l) and also (m) is the *exterior*.

Example (PageIndex2)

For (overlineXY), exactly how many type of parallel lines would certainly pass via allude (D)? Name this/these line(s).

**Solution**

One line, (overlineCD)

Example (PageIndex3)

True or false: some pairs of skew lines are likewise parallel.

**Solution**

This is false, by interpretation skew lines are in **different** planes and parallel lines are in the **same** aircraft. Two lines could be skew or parallel (or neither), yet never before both.

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Example (PageIndex4)

Using the cube listed below, list a pair of parallel lines.

## Recheck out (Answers)

To view the Recheck out answers, open up this PDF file and also look for section 3.1.