Angle bisector

Angle bisector is Line or segment that divides an angle into two equal parts.[1] This means it splits one angle into two smaller angles that have the sa

Angle bisector is Line or segment that divides an angle into two equal parts.[1] This means it splits one angle into two smaller angles that have the same measure.[1] Each of the two new angles is congruent, which means they are equal in size.[1] It starts at the vertex of the angle. The vertex is the point where the two sides of the angle meet.[2][3] From this point, it goes through the middle of the angle and separates it into two congruent angles.[2][3] The main idea of it is equal division. If an angle is cut by it, both parts of the angle are the same.[2] This means the angle is shared equally between the two smaller angles. The justification for it is that it divides an angle into two congruent parts. This is a key idea in geometry because it shows that both sides of the divided angle are equal. It is used in geometry to show that two angles are congruent.[2] When a line is proven to be amongst it, it can be used in proofs to show equal angles. This is important in triangle problems and other angle problems. It does not change the size of the original angle. It only splits it into two equal angles. The total measure of the two smaller angles is still the same as the original angle. In some geometric figures, it can help create symmetry. This means both sides of the angle look the same after it is divided.

References

  1. ↑ 1.0 1.1 1.2 "Angle bisector". www.math.net. Retrieved 2026-06-20.
  2. ↑ 2.0 2.1 2.2 2.3 "Angle bisector definition - Math Open Reference". www.mathopenref.com. Retrieved 2026-06-20.
  3. ↑ 3.0 3.1 https://www.math.unl.edu/~sdunbar1/ExperimentationCR/Lessons/TI84Lessons/ActivityAngleBisectors.pdf

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