Question

1. which figure shows a perpendicular bisector?

Explanation:

Step1: Recall definition of perpendicular bisector

A perpendicular bisector is a line that intersects a line - segment at a right - angle and divides the line - segment into two equal parts.

Step2: Analyze each figure

In figure a, there is no indication of a line bisecting another line - segment. In figure b, the construction shows a line intersecting a line - segment (the line between points A and B) at a right - angle and dividing it into two equal parts, which is the definition of a perpendicular bisector. In figure c, the two lines are just intersecting and there is no bisection or perpendicularity related to a line - segment. In figure d, it is a construction of an angle bisector.

Answer:

b.