Use the image to answer the question.

Question

Two rays diverge from vertex upper A, forming an angle. An arc with point upper A as the midpoint intersects the rays at points upper C and upper B. A second arc is drawn.

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?

(1 point)
Responses

Aubrianna must place the pointed end of the compass on point B
 and draw an arc through point C
.
Aubrianna must place the pointed end of the compass on point  upper B and draw an arc through point  upper C .

Aubrianna must use a straight edge to draw a line between points C
 and B
 to create the angle bisector.
Aubrianna must use a straight edge to draw a line between points  upper C and  upper B to create the angle bisector.

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

Aubrianna must place the pointed end of the compass on point A
 and draw an arc that inter

GPT-4o mini · Answer

In constructing an angle bisector, the next step after drawing an arc with the compass at point B involves marking intersections with another arc. When placing the compass point at B, Aubrianna should draw an arc that intersects both rays (CA and AB) of the angle.

To properly create the angle bisector, she should follow up by placing the pointed end of the compass on point C and drawing another arc that intersects with the previous arc drawn at point B. By marking these points of intersection (let's call them D and E), she can then use a straight edge to draw a line from point A through the midpoint of DE, which will bisect the angle CAB.

Hence, the best response would be:

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