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Image shows line WS and line KV as parallel. Line RT intersects line WS and line KV forming right angles.
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.
1 answer
Line RT is perpendicular to line WS because it forms a right angle with it. This can be seen in the image where RT intersects WS at a 90-degree angle. This relationship holds true because when two lines are parallel, any line intersecting them will form congruent alternate interior angles. Therefore, since WS and KV are parallel and RT intersects them forming right angles, RT will be perpendicular to WS. Another reason to support this is that perpendicular lines have opposite reciprocal slopes, and since line WS is parallel to line KV, their slopes are equal, making line RT have an opposite reciprocal slope.
1 answer