Parallel, Perpendicular or Intersecting Lines Worksheet - Free Printable

To solve this problem, I need to look at each pair of lines and decide if they are parallel, perpendicular, or intersecting.

Definitions:
* Parallel Lines: Lines that run side-by-side in the same direction and never touch or cross. They look like train tracks or an equals sign (=).
* Perpendicular Lines: Lines that cross each other to form a perfect "L" shape or a square corner (a 90-degree angle). A plus sign (+) is made of perpendicular lines.
* Intersecting Lines: Lines that cross each other but do not form a perfect square corner. They just cut across each other at a slant.

Step-by-Step Analysis:

1. Pair 1: One line goes straight left-to-right. The other line cuts across it diagonally. They cross, but not at a square corner. This is intersecting.
2. Pair 2: One line is vertical (up-down), and one is horizontal (left-right). They cross to form a perfect "plus" sign with square corners. This is perpendicular.
3. Pair 3: Two diagonal lines cross each other like an "X". They cross, but the angles are not square corners. This is intersecting.
4. Pair 4: Two horizontal lines stacked on top of each other. They run in the exact same direction and will never touch. This is parallel.
5. Pair 5: Similar to #2, one line is vertical and one is horizontal. They form a perfect "plus" sign. This is perpendicular.
6. Pair 6: Two diagonal lines leaning to the right. They are side-by-side and point in the same direction. They will never touch. This is parallel.
7. Pair 7: Two diagonal lines crossing each other. They do not form square corners; they just slash through each other. This is intersecting.
8. Pair 8: One vertical line and one horizontal line crossing. They form a perfect "plus" sign with square corners. This is perpendicular.

Final Answer:
1. Intersecting
2. Perpendicular
3. Intersecting
4. Parallel
5. Perpendicular
6. Parallel
7. Intersecting
8. Perpendicular