In 3-5 sentences, define parallel AND perpendicular lines and explain the difference between the two.

The Short Answer Rubric- it is worth a total of 4 points, not 2. The categories are doubled so 4 points, then 2 points, and then 0 points.

1 answer

Parallel lines are lines in a plane that never intersect and maintain a constant distance apart from each other, having the same slope in Cartesian coordinates. In contrast, perpendicular lines are lines that intersect at a right angle (90 degrees), meaning their slopes are negative reciprocals of one another. The key difference lies in their relationship: parallel lines never meet, while perpendicular lines cross at a specific angle. This geometric distinction is essential in various applications, including coordinate geometry and design.