QUESTION IMAGE
Question
type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.
\\( \overline { r s } \\) is the perpendicular bisector of \\( \overline { p q } \\). point \\( t \\) is the midpoint of \\( \overline { p q } \\). point \\( u \\) lies on \\( \overline { r s } \\).
if the length of \\( \overline { u p } \\) is 7 units, the length of \\( \overline { u q } \\) is \\( \square \\) units.
Step1: Recall the property of perpendicular bisector
A point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.
Step2: Apply the property to the problem
Since \( \overline{RS} \) is the perpendicular bisector of \( \overline{PQ} \) and point \( U \) lies on \( \overline{RS} \), then \( UP = UQ \).
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