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:

Step1: Recall angle - bisector construction steps

In constructing an angle - bisector, after creating arcs from the intersection points of the first arc with the angle's rays (points B and C here) to get point D, the final step is to connect the vertex of the angle to point D.

Step2: Identify the correct tool

We use a straightedge to draw a straight line. A compass is used for drawing arcs, not for connecting points to form a straight - line segment.

Answer:

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