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$ \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.
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Accepted Answer

# Answer:
7
# Explanation:
## Step1: Apply the perpendicular bisector theorem
The perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Since $ \overline{RS} $ is the perpendicular bisector of $ \overline{PQ} $ and point $ U $ lies on $ \overline{RS} $, by the perpendicular bisector theorem, $ UP = UQ $.
## Step2: Substitute the given value
Given that $ UP = 7 $ units.
Because $ UP = UQ $, then $ UQ=7 $ units.

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Question

Explanation:

Step1: Apply the perpendicular bisector theorem

Step2: Substitute the given value

Answer: