Next $$ \Theta $$ Proving Theorems about Lines and Angles: Mastery Test Type the correct answer in the box. Use numerals inslead 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

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UpStudy AI · Accepted Answer

1. Since $$ \overline{R S} $$ is the perpendicular bisector of $$ \overline{P Q} $$, every point on $$ \overline{R S} $$ is equidistant from $$ P $$ and $$ Q $$.

2. Thus, for point $$ U $$ on $$ \overline{R S} $$, we have 
   $$
   U P = U Q.
   $$

3. Given that $$ U P = 7 $$ units, it follows that 
   $$
   U Q = 7.
   $$

Answer: $$7$$
$$ U Q = 7 $$

Next Proving Theorems about Lines and Angles: Mastery Test
Type the correct answer in the box. Use numerals inslead of words. If necessary, use / for the fraction bar.
is the perpendicular bisector of . Point is the midpoint of . Point U lies on
If the length of is 7 units, the length of is

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Next Proving Theorems about Lines and Angles: Mastery Test Type the correct answer in the box. Use numerals inslead of words. If necessary, use / for the fraction bar. is the perpendicular bisector of . Point is the midpoint of . Point U lies on If the length of is 7 units, the length of is