Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.
$overline{pq}$ is parallel to $overline{rs}$. $overline{pr}$ and $overline{qs}$ are perpendicular to $overline{pq}$ and $overline{rs}$.
the ratio of the lengths of $overline{pr}$ and $overline{qs}$ is : .

Explanation:

Step1: Identify the shape

Since $\overline{PQ}\parallel\overline{RS}$ and $\overline{PR}\perp\overline{PQ},\overline{QS}\perp\overline{RS}$, the quadrilateral $PQSR$ is a rectangle.

Step2: Recall property of rectangle

In a rectangle, opposite - sides are equal. So, $PR = QS$.

Answer:

$1:1$