Question

To use a compass to find the midpoint of a line segment, Rebecca draws two arcs of equal radius from each of the two endpoints of the segment so that they also intersect on both sides of the segment. Identify the line that connects the two points where the arcs intersect.

a. radius of the arcs

b. diameter of the arcs

c. perpendicular bisector of the segment

d. angle bisector

Answer 1

We are given a line segment with two points on each end. Rebecca draws two arcs with equal radius from each point. Now, the intersection of the two arcs is the midpoint of the line. This can be explained by the radius of the arcs. Since they are equal, meaning they have the same distance from each point. Thus, the midpoint of the line.