Question

1. the length of \\( \overline { d e } \\) is shown. what other length can you determine for this figure?

\\( d f = 24 \\)
\\( d g = 12 \\)
\\( e f = 12 \\)

Explanation:

Step1: Recall the property of perpendicular bisector

A perpendicular bisector of a segment divides the segment into two equal parts. In the figure, the line is the perpendicular bisector of \( DF \).

Step2: Analyze the relationship between segments

Since \( DE = 12 \), and by the property of perpendicular bisector (if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment), we know that \( DG=DE \).

Answer:

\( DG = 12 \)