The correct answers are:
A) 1
B) infinitely many
C) 1
D) infinitely man
Step-by-step explanation:
A) On any given line segment, there is exactly one point that splits it into two separate segments.
B) There are infinitely many bisectors of a segment, all of which can bisect the segment at different angles.
C) There is only 1 perpendicular bisector; out of the infinitely many bisectors, only one will intersect at a 90° angle.
D) There are infinitely many in 3 dimensional space. This is because there is a plane normal to the line segment (perpendicular to) that goes through the point; there are an infinite number of lines in a plane, so that gives us infinitely many perpendicular bisectors of the segment.