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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?

User FrancescoM
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2 Answers

7 votes

Final answer:

After swinging arcs from both endpoints of the segment with the compass, Sasha's next step is to use the intersections to draw two new arcs that intersect each other, and then draw a line through these points of intersection, which will bisect the original segment.

Step-by-step explanation:

Sasha is in the process of bisecting a segment, which means she will find the midpoint or the point that divides the segment into two equal parts. After swinging an arc on either side of the segment with the compass set to one endpoint, and then doing the same from the other endpoint without changing the compass width, her next step is to draw two more arcs, one from each side of the line segment, using the intersections of the first arcs as the centers. These new arcs will intersect each other above and below the line segment. The point where the two new arcs intersect is the midpoint of the segment. Sasha's final step is to draw a line through the points of intersection of these arcs, which will cross the original segment at its midpoint, giving her the exact center point.

User Yearntolearn
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2 votes

Answer: A. Swing arcs on both sides to intersect the first two arcs created.

Step-by-step explanation:

User Dahalia
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