Question

barnard uses a compass to construct the bisector of an angle. what is the next step to complete the construction?
connect the vertex of the angle a to point d with a compass.
connect the vertex of the angle a to point d with a straightedge.
draw an arc from point b that intersects both rays of the angle.
mark the intersection point of the arcs and connect it to the vertex of the angle.

Explanation:

When constructing an angle - bisector, after creating arcs from the intersection points of the initial arc with the angle's rays and getting their intersection point (point D in this case), the next step is to connect the vertex of the angle to this intersection point. A straightedge is used to draw a straight line. Connecting with a compass is incorrect as a compass is for drawing circles or arcs. The step of drawing an arc from point B that intersects both rays is an earlier step in the process.

Answer:

Connect the vertex of the angle A to point D with a straightedge.