Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.
$overline{rs}$ is the perpendicular bisector of $overline{pq}$. point $t$ is the midpoint of $overline{pq}$. point $u$ lies on $overline{rs}$.
if the length of $overline{up}$ is 7 units, the length of $overline{uq}$ is $square$ units.

Explanation:

Step1: Recall the property of perpendicular bisector

Any point on the perpendicular bisector of a line segment is equidistant from the endpoints of the line segment. Since \( \overline{RS} \) is the perpendicular bisector of \( \overline{PQ} \) and point \( U \) lies on \( \overline{RS} \), then \( UP = UQ \).

Step2: Substitute the given value

Given that \( UP = 7 \) units. By the property mentioned above, \( UQ=UP \).

Answer:

7