Question

what is the relationship between lines b and c? a b c d b c ?

Explanation:

Step1: Identify line directions

Line b is horizontal (left-right), line c is vertical (up-down). Wait, no—wait, line a and b are horizontal (same direction, parallel to each other), line c and d are vertical (same direction, parallel to each other). Line b is horizontal, line c is vertical? No, wait the question is lines b and c: line b is horizontal (arrow left-right), line c is vertical (arrow up-down)? No, wait no—wait, parallel lines have the same slope. If line b is horizontal (slope 0) and line c is vertical (undefined slope), no—wait no, looking at the diagram: line a and b are both horizontal (so parallel to each other), line c and d are both vertical (parallel to each other). But the question is b and c: b is horizontal, c is vertical—wait no, no, wait the options: the first is perpendicular (⊥), second parallel (||), third skew. Skew lines are non-intersecting non-parallel in 3D, but this is 2D. So if b is horizontal and c is vertical, they are perpendicular? Wait no, wait the diagram: line b is horizontal, line c is vertical—they intersect at a right angle? Wait the diagram shows line b (horizontal) and line c (vertical) with a right angle symbol at their intersection. Oh right! So lines b and c intersect at 90 degrees, so they are perpendicular. Wait wait, the first option is ⊥ (perpendicular), second || (parallel). So the answer is the first option? Wait I made a mistake earlier. Let's correct:

Step1: Check intersection & angle

Lines b and c intersect at a right angle (square symbol indicates 90°).

Step2: Determine relationship

Perpendicular lines intersect at 90°, so lines b and c are perpendicular.

Step1: Identify intersection angle

Lines b and c intersect at 90° (right angle symbol).

Step2: Define perpendicular lines

Lines intersecting at 90° are perpendicular. Thus, b ⊥ c.

Answer:

The second option (||)