How To Bisect An Angle Using A Compass

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HomeAcademics & The Arts ArticlesMath ArticlesGeometry ArticlesHow to Bisect an Angle Using a CompassByMark Ryan Updated2016-12-01 3:14:41From the bookGeometry For DummiesShare

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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 bisect an angle, you use your compass to locate a point that lies on the angle bisector; then you just use your straightedge to connect that point to the angle's vertex.

Try an example.

Refer to the figure as you work through this construction:

1. Open your compass to any radius r, and construct arc (K, r) intersecting the two sides of angle K at A and B.
2. Use any radius s to construct arc (A, s) and arc (B, s) that intersect each other at point Z. Note that you must choose a radius s that's long enough for the two arcs to intersect.
3. Draw line KZ and you're done.

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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