Aubrianna is constructing an angle bisector of CAB as shown in the image. She has constructed an arc by placing the pointed end of the compass on point B. What is the next step that Aubrianna must do in creating the angle bisector?

A. Aubrianna must place the pointed end of the compass on point A and draw an arc that intersects points C and B.
B. Aubrianna must place the pointed end of the compass on point C and draw an arc between the angle above points C and B.

1 answer

To construct an angle bisector after drawing an arc from point B that intersects the sides of the angle, the next logical step is to create an intersection point on both sides of the angle.

In this context, the correct choice would be:

B. Aubrianna must place the pointed end of the compass on point C and draw an arc between the angle above points C and B.

By doing this, she will create another arc that intersects the previous arc drawn from point B, allowing her to find the intersection point that is crucial for constructing the bisector. After finding that intersection, she can draw a line from point A to the intersection point to complete the angle bisector.