How is constructing a perpendicular bisector similar to constructing an angle bisector? how is it different?

Similarities between angle bisector and perpendicular bisector:
Perpendicular bisector bisects a line segment into two equal parts at 90°.
Angle bisector bisects an creating two congruent angles
they both bisect into equal parts

Construction of an angle bisector starts by defining a segment that is a chord of a circle with the given angle as the central angle. From there, the constructions proceed in the same way, as the perpendicular bisector of the chord bisects the central angle.

Ithink i'm not for sure i'm pretty sure embargo