Question

An Angle Bisector of an angle of a triangle divides the opposite side in two segments that are __________________ to the other two sides of the triangle.

Answer 1

In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.
I believe that the answer is congruent 

https://en.wikipedia.org/wiki/Angle_bisector_theorem