Question

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

Answer 1

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.

Answer 2

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.