Question

1. if \\( \overrightarrow{jh} \\) is the perpendicular bisector of \\( gi \\), what is \\( ji \\)?

Explanation:

Step1: Use the perpendicular bisector theorem

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Since \( \overrightarrow{JH}\) is the perpendicular bisector of \(GI\), then \(JG = JI\).

Step2: Find the value of \(JI\)

Given \(JG = 21\), by the perpendicular bisector theorem \(JI=JG\).

Answer:

\(21\) (corresponding to the fourth option in the multiple - choice list)