Trigonometry 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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Mary Jane Sterling taught algebra, business calculus, geometry, and finite mathematics at Bradley University in Peoria, Illinois, for more than 30 years. She is the author of several For Dummies books, including Algebra Workbook For Dummies, Algebra II For Dummies, and Algebra II Workbook For Dummies.

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