Angle bisector
a ray that divides an angle into two congruent angles
An angle bisector is a line or line segment that divides an angle into two equal parts. The point where the angle bisector intersects the angle vertex is called the angle bisector point.
The angle bisector theorem states that the angle bisector of an angle in a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle. In other words, if a line segment AD bisects angle A in triangle ABC, then BD/DC = AB/AC, where D is the point of intersection of the angle bisector with BC.
The concept of angle bisectors is important in geometry, trigonometry, and other areas of mathematics. It is used to solve many problems related to triangles, such as finding the area and perimeter of a triangle, finding angles and side lengths of a triangle, and proving geometric theorems.
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