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Do Parallel Lines Intersect?

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Date: 3/1/96 at 13:54:45
From: Ruthven-Ayrshire Student
Subject: Parallel Lines

I am a junior high mathematics teacher, and one of my classes is
studying parallel lines.  I have heard once that parallel lines do in
fact intersect.  I have brought the subject up in class and the students
wanted to find any information about it.  If you can help us in any
```

```
Date: 3/1/96 at 14:15:38
From: Doctor Ethan
Subject: Re: Parallel Lines

Hello,

Well, I am afraid that parallel lines do not intersect.  In fact, that
is the definition of parallel lines in a plane.

I can think of two things that might be confusing this issue. The
first has to do with perspective drawing.  In perspective drawing
(imagine standing on straight railroad tracks that are going off into
the distance), parallel lines appear to intersect.

The other thing that you may be thinking about is that in some
non-Euclidean geometry, parallel lines are not the same distance
apart the whole time. However, I would not mention this to your
geometry.

-Doctor Ethan,  The Math Forum

```
Associated Topics:
Middle School Geometry
Middle School Two-Dimensional Geometry

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