Question

diagnostic
based on the graphs below, label them as parallel lines, perpendicular lines, or neither and explain your reasoning.

Explanation:

• For A: Parallel lines never intersect and have the same slope. In graph A, the two lines do not intersect and have the same steepness (slope), so they are parallel.
• For B: Parallel lines never intersect and have the same slope. In graph B, the two lines do not intersect and have the same steepness (slope), so they are parallel.
• For C: Perpendicular lines intersect at a right - angle (\(90^{\circ}\)) and the product of their slopes is \(- 1\). In graph C, the lines intersect at a non - right angle and do not meet the perpendicular slope condition.
• For D: Parallel lines never intersect and have the same slope. In graph D, the two lines do not intersect and have the same steepness (slope), so they are parallel.

Answer:

A. Parallel lines.
B. Parallel lines.
C. Neither.
D. Parallel lines.