Classify lines as parallel, perpendicular, or intersecting in this geometry worksheet.

Let's solve the worksheet step by step. The task is to classify each pair of lines as parallel, perpendicular, or intersecting.

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Definitions:

- Parallel lines: Lines that never meet (same direction, never cross).
- Perpendicular lines: Lines that intersect at a 90-degree angle (right angle).
- Intersecting lines: Lines that cross each other at any angle (not necessarily 90°).

Now let’s analyze each pair:

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1.

→ They cross at an angle that is not 90°.
✔ Intersecting

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2.

→ They cross at a right angle (T-shape).
✔ Perpendicular

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3.

→ They cross, but not at 90° (they form acute and obtuse angles).
✔ Intersecting

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4.

→ Same direction, never meet.
✔ Parallel

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5.

→ Cross at a right angle (like a plus sign).
✔ Perpendicular

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6.

→ Same slope, never meet.
✔ Parallel

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7.

→ They cross, but not at 90°.
✔ Intersecting

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8.

→ Cross at a right angle (plus sign).
✔ Perpendicular

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Final Answers:

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

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✔ Summary:
- Parallel: 4, 6
- Perpendicular: 2, 5, 8
- Intersecting: 1, 3, 7

Let me know if you'd like this formatted for printing or with explanations for students!