if a pointis onthe perpendicular bisector of a segment,then it is:A. the midpoint of the segment,B.equidistant from the endpoints of the segment. C. on the segment. D.equidistant from the midpoint and one endpoint of the segment.
The perpendicular bisector is the line containing points equidistant from both ends of the line segment.
So, B
If P is your point,
it may not be the actual midpoint
it may not even be on the line AB
it is certainly not between the midpoint and one end.
Y is the midpoint of segment XZ. If XZ is 64 units long, how long is
To determine the correct answer, let's first understand what the perpendicular bisector of a segment is.
A perpendicular bisector is a line or segment that passes through the midpoint of another line segment, creating four right angles at the point where it intersects the segment.
Now, let's apply this concept to the given options:
A. The midpoint of the segment: If a point is on the perpendicular bisector of a segment, it will indeed be the midpoint of that segment since the perpendicular bisector passes through the midpoint.
B. Equidistant from the endpoints of the segment: While a point on the perpendicular bisector will be equidistant from the endpoints, this alone does not guarantee that it is the only possibility. Other points can also be equidistant from the endpoints but do not lie on the perpendicular bisector.
C. On the segment: The perpendicular bisector does intersect the given segment, but it does not necessarily lie entirely on the segment.
D. Equidistant from the midpoint and one endpoint of the segment: This option is not necessarily true. While a point on the perpendicular bisector is equidistant from the midpoint, it may or may not be equidistant from one of the endpoints.
Based on the explanations above, the correct answer is option A: the point is the midpoint of the segment.