Question

quadrilateral rpqs is a rectangle. label the missing measures. *pt = 7.5

Explanation:

Step1: Recall rectangle properties

In a rectangle, opposite sides are equal. So $PQ = RS = 12$ and $PS=QR = 9$.

Step2: Use diagonal - property

The diagonals of a rectangle are equal and bisect each other. Given $PT = 7.5$, then $PR=2\times PT$. So $PR = 2\times7.5=15$. Also, since the diagonals bisect each other, $RT = PT = 7.5$.

Answer:

$PR = 15$
$PQ = 12$
$PS = 9$
$QR = 9$
$RT = 7.5$