Question

line wv is perpendicular to both line rs and line tu. which statement must be true about line tu? line tu has no slope. line tu is parallel to line rs. line tu is perpendicular to line rs. line tu has a slope of -5.

Explanation:

Step1: Recall the property of parallel lines

If two lines are perpendicular to the same line, then they are parallel to each other.

Step2: Apply the property to the given lines

Since line \(WV\) is perpendicular to both line \(RS\) and line \(TU\), by the property of parallel lines (if \(a\perp b\) and \(a\perp c\), then \(b\parallel c\)), line \(TU\) is parallel to line \(RS\).

Answer:

Line \(TU\) is parallel to line \(RS\).