Question

Which sentence states a property or a definition used in the construction of a perpendicular bisector?

A) A line that intersects a line segment at an angle of 90° is parallel to the line segment.

B) A line that bisects a line segment is necessarily perpendicular to the line segment.

C) Any two points equidistant from the midpoint of a line segment lie on its perpendicular bisector.

D) Any point on a perpendicular bisector is equidistant from each endpoint of the line segment.

Answer 1

perpendicular bisector theorwm states that
If a point lies on the perpendicular drawn through the midpoint of a line segment, then the point is equidistant from the endpoints of the line segment.
Any point on a perpendicular bisector is equidistant from each endpoint of the line segment.

Answer 2

Answer

D) Any point on a perpendicular bisector is equidistant from each endpoint of the line segment.

Explanation.
A perpendicular bisector, divides the line segment in to two equal parts. It should be perpendicular to the line segment.
The best description the the construction of a perpendicular bisector is the one that talks of a general points that lies along the perpendicular bisector and are equidistant from the two ends. From the choices the answer is; Any point on a perpendicular bisector is equidistant from each endpoint of the line segment.