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

Step-by-step explanation:

A perpendicular bisector may be defined as the line segment that intersects some other given line perpendicularly and it also divides it into two congruent or equal parts. Now, two lines are said to be cut at right angles or perpendicular to each other if they intersect in a way that they form ninety degrees to each other.

Constructing a line bisector.

1. Take any line segment of any length.

2. Take your compass and adjust its length to more than the half of the length of the line segment.

3. Placing the compass pointer on one edge at a time cut arcs above and below the line segment.

4. Now mark the points where both opposite arcs meet and join the point to cut the given line segment in two equal parts.

Thus the bisector will divide the line into two equal line segments and it will be at right angles to the given line segment.

Thus it is true that constructing a line bisector is also constructing a perpendicular bisector of the line segment.

34

step-by-step explanation:

oof

step-by-step explanation: