Geometry

Question Analysis

This question requires the application of the perpendicular bisector concept. The main focus is to utilize the property of the perpendicular bisector to find the length of the line segment .

 

Key Concept Explanation

The perpendicular bisector theorem states that a point on the perpendicular bisector of a line segment is equidistant from the endpoints of that line segment. In this case, line  is the perpendicular bisector of , so any point on  has equal distances to  and .

 

Step-by-Step Solution

1. Observe the figure: We can see that line  is the perpendicular bisector of line segment  because of the right - angle symbol at  and the equal - length marks on  and