Question

if $overline{gh}congoverline{hi}$, $gj = u + 25$, and $ij = 2u$, what is the value of $u? u=square$

Explanation:

Step1: Apply property of perpendicular bisector

If $\overline{GH}\cong\overline{HI}$ and the line through $J$ is perpendicular to $\overline{GI}$, then $J$ is the mid - point of $\overline{GI}$ and $GJ = IJ$.

Step2: Set up the equation

Set $u + 25=2u$.

Step3: Solve the equation for $u$

Subtract $u$ from both sides: $25=2u - u$.

Answer:

$25$