Question

which of the following geometric constructions can have a perpendicular bisector? lines segments rays

Explanation:

Step1: Recall definitions

A perpendicular bisector divides a geometric figure into two equal - parts at a right - angle. A line extends infinitely in both directions, so it has no mid - point to have a perpendicular bisector. A ray has one endpoint and extends infinitely in one direction, so it also has no definite mid - point for a perpendicular bisector.

Step2: Analyze segments

A line segment has two endpoints and a definite length. It has a mid - point. A perpendicular bisector of a line segment is a line that is perpendicular to the segment and passes through its mid - point.

Answer:

B. segments