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.

Question

(4 points)

Answer 1

If line WS is parallel to line KV and line RT is perpendicular to line KV, then line RT is also perpendicular to line WS. The reasoning behind this is based on the properties of parallel and perpendicular lines:

1. Transitive Property of Perpendicularity: When a line is perpendicular to one of two parallel lines, it is also perpendicular to the other parallel line. In this case, since line KV is parallel to line WS, and line RT is perpendicular to line KV, it follows that line RT must also be perpendicular to line WS. This occurs because the angles formed by line RT with line KV and line WS are complementary and thus maintain the perpendicular relationship.

Therefore, the relationship of line RT to line WS is that they are perpendicular to each other.