Geometry For Dummies
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Say you're given a line with a point somewhere along it, and you have to construct a second line perpendicular to the first one through that point. Can it be done? Absolutely! The following example will show you how.


As you work through this construction, you can refer back to this figure:

Constructing a perpendicular line through a point on a line.
  1. Using any radius r, construct arc (W, r) that intersects line EF at X and Y.
  2. Using any radius s that's greater than r, construct arc (X, s) and arc (Y, s) intersecting each other at point Z.
  3. Draw line WZ.
That's it; line WZ is perpendicular to line EF at point W.

About This Article

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About the book author:

Mark Ryan is the founder and owner of The Math Center in the Chicago area, where he provides tutoring in all math subjects as well as test preparation. Mark is the author of Calculus For Dummies, Calculus Workbook For Dummies, and Geometry Workbook For Dummies.

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