which figure shows the construction of an angle bisector?

Explanation:

Step1: Recall angle - bisector construction steps

The construction of an angle bisector involves using a compass to draw arcs from the vertex of the angle that intersect the two sides of the angle. Then, from the intersection points of the arcs and the sides, new arcs are drawn inside the angle, and the line connecting the vertex to the intersection of these new arcs is the angle bisector.

Step2: Analyze the figures

We need to look for the figure that shows these steps correctly. Typically, we see arcs drawn from the vertex to the sides and then arcs drawn from the intersection points on the sides that intersect inside the angle.

Answer:

The figure that shows the correct sequence of arcs drawn from the vertex to the sides and then from the side - intersection points to an intersection inside the angle is the one representing the construction of an angle bisector. (Since no options are labeled, we can't specify a particular letter - named option, but the correct figure follows the described construction steps).