Final answer:
The correct match for 'bisector of a segment' is 'a line or segment that intersects the segment at its midpoint'. The terms 'plane' and 'midpoint' match with 'a set of two or more points all on the same plane' and 'the point on a segment that divides the segment into two equal segments', respectively.
Step-by-step explanation:
The question involves matching terms related to geometry with their correct definitions. Here are the correct matches:
- Bisector of a segment
- c. A line or segment that intersects the segment at its midpoint
- Plane
- a. A set of two or more points all on the same plane
- Midpoint
- b. The point on a segment that divides the segment into two equal segments
- Set of all points
- d. The set of all possible points
The term 'bisector of a segment' refers specifically to the concept in option c., while 'midpoint' is tied to option b. The term 'plane' in geometry describes a flat surface extending infinitely in all directions, which is option a. Lastly, the 'set of all points' is another way to describe a space or geometric plane, covered by option d.