Basic Geometry: Parallel, Perpendicular, Intersecting - Free Printable

It looks like you've uploaded an image of a worksheet titled "Parallel, Perpendicular and Intersecting Lines" with an answer key. The task is to label each pair of lines as Parallel, Perpendicular, or Intersecting.

Let me walk through the solution based on the image:

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🔍 Understanding the Definitions:

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

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✔ Solution: Labeling Each Pair

Here are the nine diagrams from the worksheet, analyzed one by one:

1. Top-left – Two lines crossing at a right angle → Perpendicular
2. Top-center – Two lines crossing at an angle ≠ 90° → Intersecting
3. Top-right – Two lines crossing at a right angle → Perpendicular
4. Middle-left – Two lines running in the same direction, never meeting → Parallel
5. Middle-center – Two lines crossing at a right angle → Perpendicular
6. Middle-right – Two lines running in the same direction, never meeting → Parallel
7. Bottom-left – Two lines crossing at an angle ≠ 90° → Intersecting
8. Bottom-center – Two lines running in the same direction, never meeting → Parallel
9. Bottom-right – Two lines crossing at an angle ≠ 90° → Intersecting

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📝 Final Answer Key (as shown in the image):

| Diagram | Label |
|--------|--------------|
| 1 | Perpendicular |
| 2 | Intersecting |
| 3 | Perpendicular |
| 4 | Parallel |
| 5 | Perpendicular |
| 6 | Parallel |
| 7 | Intersecting |
| 8 | Parallel |
| 9 | Intersecting |

✔ This matches the labels provided in the "Answer Key" section of the worksheet.

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💡 Tips for Students:

- Look for right angles (square corner) → Perpendicular.
- Look for lines that never touch and go in the same direction → Parallel.
- If they cross but not at 90° → Intersecting.

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