Sasha is bisecting a segment first, she places the compass on one endpoint, opens it to a width larger than half of the segment, and swings an arc on either side of the segment. then, she keeps the compass the same width and places it on the other endpoint. what is her next step?
a. Swing arcs on both sides to intersect the first two arcs created.
b. Swing an arc that intersects the segment.
c. Swing arcs that intersect a point that is not on the segment.
d. Swing an arc that intersects the opposite endpoint.

You want to know the second step in constructing the bisector of a segment, given that the first step was swinging arcs on either side of the segment with one end point as the center.

Segment bisector

The perpendicular bisector of a line segment is the set of points that are equidistant from the end points of the segment. The construction of a perpendicular bisector involves identifying two points on it, then connecting them with a line.

The usual procedure for identifying points on the perpendicular bisector is to draw two pairs of intersecting arcs with the same radius from each end of the segment. In order for the arcs to intersect, their radius must be greater than half the segment length.

Sasha has drawn one pair of arc with an appropriate radius in appropriate places either side of the segment being bisected. Her next step is to use the same radius to ...

swing arcs on both sides to intersect the first two arcs created