for questions 7-9 imagine a segment in a plane use that information to help you answer the questions
how many midpoints does the segment have?
one
two
infinitely many
none
how many bisectors does the segment have?
one
two
infinitely many
none
how many lines in the plane are perpendicular bisectors of the segment?
one
two
infinitely many
none
every point on the perpendicular bisector of a segment is?
perpendicular to the endpoints
equidistant from the endpoints of that segment
parallel to the endpoints of that segment
a midpoint of the segment
at this point anything will do
To answer Questions 7-9, let's consider a segment in a plane.
Question 7: How many midpoints does the segment have?
To find the number of midpoints, we need to know that the midpoint of a segment is the point that divides the segment into two equal halves. Therefore, there can only be one midpoint on a segment. So the answer is "one."
Question 8: How many bisectors does the segment have?
A bisector is a line or a plane that divides a segment into two equal parts. In the case of a segment in a plane, there can only be one bisector, which is essentially the segment itself. So the answer is "one."
Question 9: How many lines in the plane are perpendicular bisectors of the segment?
A perpendicular bisector is a line that is perpendicular to the segment and passes through its midpoint, dividing the segment into two equal halves. There can be infinitely many perpendicular bisectors for a segment in a plane. This is because any line that passes through the midpoint of the segment and is perpendicular to it will be a perpendicular bisector. So the answer is "infinitely many."
Now let's move on to the last part of your question:
Every point on the perpendicular bisector of a segment is:
To answer this, we need to understand the properties of a perpendicular bisector. Every point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. So the answer is "equidistant from the endpoints of that segment."