The correct statement is **d. w n and w m**. Lines w and n are parallel, and lines w and m are perpendicular, as indicated by the arrows in the diagram.
Parallel lines are lines that never intersect, and perpendicular lines intersect at a 90-degree angle. In the diagram, lines w and n are parallel, and lines w and m are perpendicular. This can be determined by the arrows on the lines, which indicate the direction in which the lines are going. Parallel lines have arrows that point in the same direction, while perpendicular lines have arrows that point in opposite directions.
The other answer choices are incorrect:
* **a. k n and w m** - Lines k and n are not parallel, and lines w and m are not perpendicular.
* **b. k n and n m** - Lines k and n are not parallel, and lines n and m are not perpendicular.
* **c. w n and n m** - Lines w and n are parallel, but lines n and m are not perpendicular.
Therefore, the only correct statement is **d. w n and w m**.