Question

question 2 of 10
if a point is on the perpendicular bisector of a segment, then it is:
a. equidistant from the endpoints of the segment.
b. equidistant from the midpoint and one endpoint of the segment
c. the midpoint of the segment.
d. on the segment.

Explanation:

The perpendicular bisector theorem states that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. Let's analyze each option:

• Option A: This aligns with the perpendicular bisector theorem.
• Option B: The theorem is about distance from endpoints, not from the mid - point and one endpoint.
• Option C: A point on the perpendicular bisector is not necessarily the mid - point. The mid - point is just one specific point on the perpendicular bisector.
• Option D: A point on the perpendicular bisector is not necessarily on the segment itself. The perpendicular bisector is a line (or line segment in some cases) that is perpendicular to the given segment and passes through its mid - point, and it extends beyond the segment.

Answer:

A. equidistant from the endpoints of the segment.