Construct The Perpendicular Bisector Of A Segment Using A Compass

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HomeAcademics & The Arts ArticlesMath ArticlesGeometry ArticlesConstruct the Perpendicular Bisector of a Segment Using a CompassByMark Ryan Updated2016-12-01 3:03:15From the bookGeometry For DummiesShare
Download E-BookGeometry For Dummies Explore Book Geometry Essentials For Dummies Explore BookBuy NowBuy on AmazonBuy on WileySubscribe on PerlegoDownload E-BookGeometry For DummiesExplore Book Geometry Essentials For DummiesExplore BookBuy NowBuy on AmazonBuy on WileySubscribe on PerlegoTo construct a perpendicular bisector of a segment, you use your compass to locate two points that are each equidistant from the segment's endpoints and then finish with your straightedge. The following example shows you how it's done.

geometry-bisector

This figure should help as you work through the construction process:

geometry-perpendicular-bisector Constructing a perpendicular bisector.
  1. Open your compass to any radius r that's more than half the length of segment CD, and construct arc (C, r).
  2. Construct arc (D, r) intersecting arc (C, r) at points G and H.
  3. Draw line GH. You're done: line GH is the perpendicular bisector of segment CD.

About This Article

This article is from the book: 

Geometry For Dummies

About the book author:

Mark Ryan has more than three decades’ experience as a calculus teacher and tutor. He has a gift for mathematics and a gift for explaining it in plain English. He tutors students in all junior high and high school math courses as well as math test prep, and he’s the founder of The Math Center on Chicago’s North Shore. Ryan is the author of Calculus For Dummies, Calculus Essentials For Dummies, Geometry For Dummies, and several other math books.

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