Question

after striking a pair of arcs from each endpoint of a line segment, what is the next step in constructing the segments perpendicular bisector?
a use a protractor to draw a 90° angle on the line segment.
b use a straight edge to draw a horizontal line midway between the arcs.
c use a straight edge to draw a vertical line between the points where each pair of arcs intersect.
d without using a straight edge, draw a vertical line through through the point where both arcs intersect

Explanation:

When constructing the perpendicular bisector of a line segment, after drawing arcs from each endpoint, the next step is to connect the intersection points of these arcs. A straight - edge is used for accuracy. Option A is incorrect as a protractor is not part of the standard compass - and - straight - edge construction for a perpendicular bisector. Option B is wrong because we don't just draw a horizontal line midway (the key is to connect the arc - intersection points). Option D is incorrect as we need a straight - edge for a precise line.

Answer:

C. Use a straight edge to draw a vertical line between the points where each pair of arcs intersect.