Image shows line WS and line KV as parallel. Line RT intersects line WS and line KV forming right angles.

Question

Line WS is parallel to line KV. Line RT is perpendicular to line KV. Explain the relationship of line RT to line WS. Provide at least one reason to support your answer.

Answer 1

Given that line WS is parallel to line KV and line RT is perpendicular to line KV, we can deduce the relationship of line RT to line WS.

Since RT is perpendicular to KV, it means that RT forms a right angle (90 degrees) with KV. Consequently, because WS is parallel to KV, line RT must also be perpendicular to line WS.

Reason to support this: In geometry, when two lines are parallel (in this case, WS and KV), any line that is perpendicular to one of the parallel lines (RT perpendicular to KV) must also be perpendicular to the other parallel line (WS). This is a fundamental property of parallel lines: if a transversal intersects two parallel lines at right angles, it will do so to both of them. Thus, line RT is perpendicular to both line KV and line WS.