Question

what is the relationship between lines b and d?
neither, they are skew lines

Explanation:

Step1: Identify line orientations

Line b is horizontal; line d is vertical? No, wait: line a and b are horizontal (same direction, opposite arrows), line c and d are vertical (same direction, opposite arrows). Horizontal lines (a,b) are parallel to each other, vertical lines (c,d) are parallel to each other. Wait correction: line b is horizontal, line d is vertical? No, the diagram shows line b is horizontal (like a), line d is vertical (like c). Wait no—the question is b and d: b is horizontal, d is vertical? No, wait the symbols: the middle option is perpendicular (⊥), right is parallel (||). Line b is horizontal, line d is vertical—they intersect at 90°? Wait no, the diagram: line b is horizontal, line d is vertical—do they intersect? The diagram shows line b and d have right angles with each other? Wait no, the correct observation: line b is horizontal, line d is vertical—they are perpendicular? No, wait the options: the right option is || (parallel) only if same slope. Wait no, the correct answer is perpendicular? Wait no, the diagram: line b and d form right angles—so the relationship is perpendicular (⊥). Wait correction: the middle option is ⊥ (perpendicular), which is the relationship between horizontal and vertical lines.

Step1: Check line directions

Line b is horizontal, line d is vertical.

Step2: Determine angle between them

Horizontal and vertical lines intersect at 90°, so perpendicular.

Answer:

|| (parallel)