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 both perpendicular to a third line, then these two lines are parallel.

Step2: Apply the property

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.