Question

line wv is perpendicular to both line rs and line tu. which statement must be true about line tu? line tu is parallel to line rs. line tu is perpendicular to line rs. line tu has no slope. 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.
Here, line \(WV\) is perpendicular to line \(RS\) and line \(WV\) is perpendicular to line \(TU\).

Step2: Apply the property

By the property of parallel lines (if \(a\perp b\) and \(a\perp c\), then \(b\parallel c\)), since \(WV\perp RS\) and \(WV\perp TU\), we can conclude that \(RS\parallel TU\).

Answer:

Line TU is parallel to line RS.