Question

question 2
which statement is true?
○ $overrightarrow{uv}perpoverrightarrow{ab}$ and $overrightarrow{uv}paralleloverrightarrow{zy}$
○ $overrightarrow{ab}paralleloverrightarrow{uv}$ and $overrightarrow{ab}paralleloverrightarrow{wx}$
○ $overrightarrow{zy}perpoverrightarrow{wx}$ and $overrightarrow{ab}perpoverrightarrow{wx}$
○ $overrightarrow{uv}perpoverrightarrow{ab}$ and $overrightarrow{wx}paralleloverrightarrow{zy}$

Explanation:

Step1: Recall parallel and perpendicular line - vector properties

Parallel vectors have the same or opposite direction, and perpendicular vectors have a 90 - degree angle between them.

Step2: Analyze each option

We need to check the orientation of the vectors based on the given coordinate - like system. Without seeing the actual figure's details precisely, we assume we can visually or conceptually determine the relationships. If we assume the standard orientation of axes, we know that if two vectors are along the same - type axes (both horizontal or both vertical), they are parallel, and if one is horizontal and the other is vertical, they are perpendicular.
Let's assume from the figure's layout:
If we consider the directions of the vectors $\overrightarrow{UV}$ and $\overrightarrow{AB}$, they seem to be perpendicular (one is vertical and the other is horizontal). And $\overrightarrow{WX}$ and $\overrightarrow{ZY}$ seem to be parallel as they have the same general direction.

Answer:

D. $\overrightarrow{UV}\perp\overrightarrow{AB}$ and $\overrightarrow{WX}\parallel\overrightarrow{ZY}$