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 1 : 1

Explanation:

Step1: Analyze the figure (implied)

Since \(\overline{PQ} \parallel \overline{RS}\) and \(\overline{PR}\), \(\overline{QS}\) are perpendicular to both \(\overline{PQ}\) and \(\overline{RS}\), \(PRSQ\) is a rectangle (or a right - angled parallelogram). In a rectangle, the lengths of the sides that are perpendicular to the parallel sides (the heights) are equal. So the length of \(\overline{PR}\) is equal to the length of \(\overline{QS}\).

Step2: Determine the ratio

If two quantities are equal, their ratio is \(1:1\).

Answer:

\(1:1\) (so the boxes should be filled with \(1\) and \(1\) respectively)