Question

name the construction. options: angle median, angle bisector, perpendicular line to a point not on a line, perpendicular bisector of a line segment

Explanation:

The construction shown in the diagram is an angle bisector. An angle bisector is a line or ray that divides an angle into two equal parts. The diagram depicts the process of constructing a line that splits the angle at vertex \( A \) into two congruent angles, which is characteristic of an angle bisector construction. The other options do not match: "Angle median" is not a standard term for this construction; "Perpendicular line to a point not on a line" involves constructing a perpendicular from a point outside a line, which is not the case here; "Perpendicular bisector of a line segment" involves bisecting a segment and making a perpendicular, which is also not the case here.

Answer:

B. Angle bisector