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Bisecting and Trisecting Angles

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2016-03-26 20:27:25
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Geometry Essentials For Dummies
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The terms angle bisection and angle trisection describe two ways in which you can divide up an angle equally into two (or three) smaller, congruent angles. Their definitions are often used in proofs.

  • Angle bisection: A ray that cuts an angle into two congruent angles bisects the angle. The ray is called the angle bisector.

  • Angle trisection: Two rays that divide an angle into three congruent angles trisect the angle. These rays are called angle trisectors.

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When rays trisect an angle of a triangle, the opposite side of the triangle is never trisected by these rays.

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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.