Which of the following is true about the bisectors of a segment in a plane? a. every segment has exactly on bisector ****

b. every segment has exactly two bisectors
c. every segment has 10 bisectors
d. every segment has infinitely many bisectors

right, if you mean perpendicular bisector.

otherwise, ...
how many lines can go through the midpoint?

To determine which of the following options is true about the bisectors of a segment in a plane, we need to understand what a bisector is.

A bisector is a line, ray, or segment that cuts another line, ray, or segment into two equal parts, usually at a 90-degree angle. In the case of a segment, the bisector divides the segment into two equal halves.

Now, let's analyze each of the given options:

a. Every segment has exactly one bisector: This option is true. Every segment can be bisected by a single line, ray, or segment to form two equal parts.

b. Every segment has exactly two bisectors: This option is not true. A segment can have only one bisector, not two.

c. Every segment has ten bisectors: This option is not true. The number of bisectors is not fixed and can vary depending on the segment's length, position, and orientation.

d. Every segment has infinitely many bisectors: This option is not true. While the number of bisectors is not limited to a specific number, it is not infinite. There are a finite number of possible bisectors for any given segment.

Based on the analysis, the correct option is a. Every segment has exactly one bisector.