Grade 4 Geometry Worksheet on identifying parallel, perpendicular, and intersecting lines with diagrams and drawing exercises.

Let's solve this Grade 4 Geometry Worksheet step by step.

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🔹 Understanding the Definitions:

- Parallel lines: Lines that never meet or touch — they are always the same distance apart.
- Perpendicular lines: Lines that intersect at a right angle (90°). A small square at the intersection indicates a right angle.
- Intersecting lines: Lines that cross at one point, but not necessarily at a right angle.

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🔹 Part 1: Label each pair of lines

We have six pairs of lines. Let’s analyze each:

#### ✔ Box 1 (Top-left):
- Two horizontal arrows pointing in opposite directions.
- They are equal distance apart and do not intersect.
- → Parallel

#### ✔ Box 2 (Top-center):
- One horizontal line, one vertical line.
- They cross at a point with a small square indicating a right angle.
- → Perpendicular

#### ✔ Box 3 (Top-right):
- Two diagonal lines crossing at an angle.
- They intersect at one point, but no right angle is shown.
- → Intersecting

#### ✔ Box 4 (Bottom-left):
- Two diagonal lines crossing at an angle.
- They intersect at one point, but not at 90°.
- → Intersecting

#### ✔ Box 5 (Bottom-center):
- Two vertical lines, same direction, equal distance apart.
- Do not intersect.
- → Parallel

#### ✔ Box 6 (Bottom-right):
- One horizontal line, one diagonal line.
- They cross at one point, but not at a right angle.
- → Intersecting

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✔ Answers for Part 1:

| Box | Answer |
|-----|---------------|
| 1 | parallel |
| 2 | perpendicular |
| 3 | intersecting |
| 4 | intersecting |
| 5 | parallel |
| 6 | intersecting |

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🔹 Part 2: Draw the following

Now, you need to draw examples in the boxes below:

#### ➤ Parallel lines:
- Draw two lines that never meet and are the same distance apart.
- Example:
```
-----------------
-----------------
```

#### ➤ Perpendicular lines:
- Draw two lines that cross at a right angle.
- Use a small square at the corner if possible.
- Example:
```
|
|
---+---
|
|
```

#### ➤ Intersecting lines:
- Draw two lines that cross at one point, but not at 90°.
- Example:
```
\
\
----
/
/
```

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✔ Final Answer Summary:

#### Part 1 – Labels:

1. parallel
2. perpendicular
3. intersecting
4. intersecting
5. parallel
6. intersecting

#### Part 2 – Drawings (Examples):

- Parallel lines: Two straight lines side by side, same direction, no intersection.
- Perpendicular lines: One horizontal and one vertical line forming a "T" or "+" shape with a right angle.
- Intersecting lines: Two lines crossing at a slant, not at 90°.

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✔ This worksheet helps students visually distinguish between different types of lines using definitions and drawings. Make sure to label clearly and draw neatly!