When constructing the bisector of a line segment, you are also constructing the perpendicular bisector of a line segment. true or false Explain your reasoning.

True

This is so because the line is drawn from points on both sides of the line to be bisected, which are equidistant from the ends and the center of the line to be bisected line giving an angle of 90° at the intersection of both lines.

Step-by-step explanation:

The steps for constructing the bisector of a line segment includes the following

1) The compass is placed at one end of the line segment

2) The width of the compass is adjusted so as to be wider than half the length of the line segment

3) Arcs are now to be drawn above and below the line segment to be bisected

4) From the other end of the line to be bisected with the same compass width, draw arcs above and below the line segment to be bisected to intersect the previous arcs drawn above

5) With a straight edge draw a line through the intersection of the arcs to draw the bisector

The line so drawn is the perpendicular bisector because it is drawn from points on both sides of the bisected line equidistant from the ends and the center of the bisected line.

4

step-by-step explanation:

step-by-step explanation: