which line segment is an angle bisector?

which line segment is an angle bisector?

which line segment is an angle bisector?

Answer

Explanation:

Step1: Recall angle - bisector definition

An angle bisector divides an angle into two equal - measure angles. Also, the angle - bisector theorem states that if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides. In the given triangle $\triangle TVX$, we can see that the line segment $XU$ divides $\angle VXT$ such that the perpendicular distances from points on the sides of the angle to the bisector are equal (shown by the right - angle marks).

Answer:

$XU$