Question

the movement of the progress bar may be uneven because questions can be worth
which of these statements is true?
\\( \overleftrightarrow { u v } || \overleftrightarrow { a b } \\) and \\( \overleftrightarrow { u v } || \overleftrightarrow { z y } \\)
\\( \overleftrightarrow { u v } \perp \overleftrightarrow { w x } \\) and \\( \overleftrightarrow { a b } \perp \overleftrightarrow { w x } \\)
\\( \overleftrightarrow { w x } \perp \overleftrightarrow { z v } \\) and \\( \overleftrightarrow { a b } || \overleftrightarrow { u v } \\)
\\( \overleftrightarrow { w x } \perp \overleftrightarrow { z y } \\) and \\( \overleftrightarrow { w x } || \overleftrightarrow { a b } \\)

Explanation:

Step1: Analyze line segments' relationships

• From the figure, we can observe the perpendicular and parallel relationships between line segments.
• We know that if two lines are both perpendicular to the same line, then they are parallel to each other.
• $\overleftrightarrow{UV}\perp\overleftrightarrow{WX}$ (as shown by the right - angle symbol at their intersection) and $\overleftrightarrow{AB}\perp\overleftrightarrow{WX}$ (also shown by the right - angle symbol at their intersection).

Step2: Check other options

• For the option $\overleftrightarrow{UV}\parallel\overleftrightarrow{AB}$ and $\overleftrightarrow{UV}\parallel\overleftrightarrow{ZY}$: $\overleftrightarrow{UV}$ and $\overleftrightarrow{ZY}$ are not parallel.
• For the option $\overleftrightarrow{WX}\perp\overleftrightarrow{ZY}$ and $\overleftrightarrow{AB}\parallel\overleftrightarrow{UV}$: $\overleftrightarrow{WX}$ and $\overleftrightarrow{ZY}$ are parallel, not perpendicular.
• For the option $\overleftrightarrow{WX}\perp\overleftrightarrow{ZY}$ and $\overleftrightarrow{WX}\parallel\overleftrightarrow{AB}$: $\overleftrightarrow{WX}$ and $\overleftrightarrow{ZY}$ are parallel, not perpendicular, and $\overleftrightarrow{WX}$ and $\overleftrightarrow{AB}$ are perpendicular, not parallel.

Answer:

$\overleftrightarrow{UV}\perp\overleftrightarrow{WX}$ and $\overleftrightarrow{AB}\perp\overleftrightarrow{WX}$