Parallel and Perpendicular Lines - Free Printable

Let’s go through each pair of lines one by one and decide if they are Parallel, Perpendicular, or Intersecting.

---

What do these words mean?

- Parallel: Lines that never meet, no matter how far you extend them. They stay the same distance apart — like train tracks.

- Perpendicular: Lines that cross each other at a perfect right angle (90 degrees) — like the corner of a square or the letter “T”.

- Intersecting: Lines that cross each other at any angle — but NOT necessarily 90 degrees. So all perpendicular lines are intersecting, but not all intersecting lines are perpendicular.

---

Now let’s look at each diagram:

#### Top Row:

1. First diagram (top left): Two slanted lines going in the same direction, never meeting → Parallel

2. Second diagram (top middle): One vertical line crossing one horizontal line → forms a perfect “plus” sign → Perpendicular

3. Third diagram (top right): Two lines crossing each other at an angle that is NOT 90 degrees → Intersecting

#### Middle Row:

4. Fourth diagram (middle left): Two lines crossing each other — not at 90 degrees → Intersecting

5. Fifth diagram (middle center): Two slanted lines running side by side, same direction, never meeting → Parallel

6. Sixth diagram (middle right): Two lines crossing to form an “X” shape — looks like 90 degrees? Wait — actually, it’s symmetric, so yes, this is likely meant to be Perpendicular (like a rotated plus sign).

> Let me double-check: If two lines cross and make four equal angles, those are 90-degree angles → Perpendicular. Yes, this one is Perpendicular.

#### Bottom Row:

7. Seventh diagram (bottom left): Another “X” shape — again, symmetric → forms 90-degree angles → Perpendicular

8. Eighth diagram (bottom middle): Two lines crossing at a weird angle — definitely not 90 degrees → Intersecting

9. Ninth diagram (bottom right): Two short lines running side by side, same slope, never meeting → Parallel

---

✔ All answers match what’s already written under each diagram!

So the worksheet is already correctly filled out.

Final Answer:
The classifications shown in the image are correct:
- Parallel: Diagrams 1, 5, 9
- Perpendicular: Diagrams 2, 6, 7
- Intersecting: Diagrams 3, 4, 8