Identify whether each pair of lines is parallel, perpendicular, or intersecting in this geometry worksheet.

Let's analyze each pair of lines in the image and determine whether they are parallel, perpendicular, or intersecting.

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Definitions:

- Parallel lines: Lines that never meet; they are always the same distance apart.
- Perpendicular lines: Lines that intersect at a right angle (90°). Often marked with a small square at the intersection.
- Intersecting lines: Lines that cross each other at any angle (not necessarily 90°). This includes perpendicular lines, but "intersecting" is a broader category.

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Now, let’s go through each one:

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1) Two vertical lines, same direction, not crossing
→ They are parallel
✔ Answer: Parallel

2) One vertical line, one horizontal line, meeting at a right angle (square symbol shown)
→ They form a 90° angle → Perpendicular
✔ Answer: Perpendicular

3) Two lines crossing each other, forming an "X", no right angle indicated
→ They intersect, but not at 90° → Intersecting
✔ Answer: Intersecting

4) Two lines crossing each other at an angle, not 90°
→ They intersect, but not perpendicularly → Intersecting
✔ Answer: Intersecting

5) Two slanted lines, same direction, equal spacing
→ They never meet → Parallel
✔ Answer: Parallel

6) Horizontal and vertical lines meeting at a right angle (square symbol shown)
→ Perpendicular
✔ Answer: Perpendicular

7) Two lines forming an "X" shape, crossing at a point
→ They intersect, but not at 90° → Intersecting
✔ Answer: Intersecting

8) Two lines slanted in the same direction, not touching, same distance apart
→ Parallel
✔ Answer: Parallel

9) Vertical and horizontal lines meeting at a right angle (square symbol shown)
→ Perpendicular
✔ Answer: Perpendicular

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Final Answers:

1) Parallel
2) Perpendicular
3) Intersecting
4) Intersecting
5) Parallel
6) Perpendicular
7) Intersecting
8) Parallel
9) Perpendicular

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✔ Summary:
- Parallel: 1, 5, 8
- Perpendicular: 2, 6, 9
- Intersecting: 3, 4, 7

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