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 formed

Since $\overline{PQ}\parallel\overline{RS}$ and $\overline{PR}\perp\overline{PQ}$, $\overline{QS}\perp\overline{RS}$, the quadrilateral $PQSR$ is a rectangle. In a rectangle, opposite - sides are equal. Here, $\overline{PR}$ and $\overline{QS}$ are opposite sides.

Step2: Determine the ratio

If two line - segments are equal, the ratio of their lengths is $1:1$.

Answer:

$1:1$