QUESTION IMAGE
Question
type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.
\\( \overline { p q } \\) is parallel to \\( \overline { r s } \\). \\( \overline { p r } \\) and \\( \overline { q s } \\) are perpendicular to \\( \overline { p q } \\) and \\( \overline { r s } \\).
the ratio of the lengths of \\( \overline { p r } \\) and \\( \overline { q s } \\) is \\( \square : \square \\).
Step1: Recall the property of parallel lines
If two lines \(PQ\parallel RS\) and \(PR\perp PQ\), \(QS\perp RS\), then \(PR\) and \(QS\) are the perpendicular distances between the parallel lines \(PQ\) and \(RS\).
Step2: Use the property of perpendicular distances between parallel lines
The perpendicular distance between two parallel lines is constant. So, \(PR = QS\).
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