Q&A #19480

Parallel lines

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From: Jeanne (for Teacher2Teacher Service)
Date: Apr 04, 2008 at 22:31:15
Subject: Re: Parallel lines

Hi Jake,

By definition, parallel lines ARE in the same plane. Your students just don't
see the plane they are in. One possible way to identify the plane is to take
a box and slice it in half so that you have two triangular prisms and place a
sheet of paper that extends beyond the halves.  Make sure you point out the
two troublesome parallel lines and that the plane represented by the paper
passes through them.

Another possible way to show them is to bring in a rectangular cake, point
out that the edges of the cake that are diametrically opposite one another
are parallel and that by cutting the cake in half from corner to corner you
are cutting along the plane that contains the parallel lines.

Both methods are actually the same methods. The second one is tastier.

Good luck.  Hope this helps.

 -Jeanne, for the T2T service

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