Lines, Line Segments, Rays: Geometry Worksheets - Free Printable

Let’s go through each problem one by one.

---

Problem 1:
Lines AB and CD — they look like they’re going in the same direction and never meet, even if you extend them. That’s what parallel means.
→ parallel

Problem 2:
Lines GH and JK — they are crossing each other at a point (looks like near K). So they intersect.
→ intersecting

Problem 3:
Lines MN and OP — they are not touching, and they’re slanting in different directions. If you extend them, they might meet? Wait — actually, looking closely, they seem to be diverging — but in geometry, if two lines are on the same plane and not parallel, they will eventually intersect unless specified otherwise. But here, they don’t look parallel — their slopes are different. So they must intersect somewhere if extended.
Wait — let me double-check. In the diagram, they are drawn as separate and not meeting, but since they’re not pointing in the same direction, they are intersecting (if extended).

Actually — hold on. Let’s think again. The definition says:
- Parallel: never cross, even if extended.
- Intersecting: cross at one point.
- Perpendicular: intersect at right angles.

In #3, lines MN and OP are clearly not parallel — they’re angled differently. So if you extend them, they’ll meet. So they are intersecting.

But wait — maybe the worksheet expects us to judge based on how they’re drawn? No — the instruction says “even if they are extended” for parallel. So we must consider extension.

So #3: intersecting

Problem 4:
Lines PQ and RS — they cross each other at a point (near R). Not at 90 degrees — just crossing.
→ intersecting

Problem 5:
Lines TU and VW — they are going in the same direction, same slope, never meet.
→ parallel

Problem 6:
Lines XY and ZW — they cross each other, and it looks like they form right angles (you can see the little square symbol at the intersection — that’s the mark for perpendicular!).
→ perpendicular

Problem 7:
Lines AB and CD — they cross each other, but not at right angles. Just crossing.
→ intersecting

Problem 8:
Lines EF and GH — they start from different points and go downward, but they are converging — if you extend them upward, they will meet. So they are not parallel. They will intersect.
→ intersecting

Problem 9:
Lines IJ and KL — they cross, and there’s a right-angle symbol (the small square) at the intersection. So they form 90-degree angles.
→ perpendicular

---

Now let’s list all answers clearly:

1. parallel
2. intersecting
3. intersecting
4. intersecting
5. parallel
6. perpendicular
7. intersecting
8. intersecting
9. perpendicular

Double-checking #3 and #8 — yes, both are intersecting because they are not parallel and will meet if extended.

Final Answer:
1. parallel
2. intersecting
3. intersecting
4. intersecting
5. parallel
6. perpendicular
7. intersecting
8. intersecting
9. perpendicular