2. On an A4 sheet of graph paper draw a horizontal line, the reflection line.
a) Above the line draw a quadrilateral with four unequal sides
b) Below the line reflect the quadrilateral across the horizontal reflection line.
c) Explain how you can check whether you are correct.

To complete this task step-by-step:

### Step 1: Draw a Horizontal Reflection Line
- Take an A4 sheet of graph paper.
- Use a ruler to draw a **horizontal line** across the sheet. This line will be the **reflection line** (mirror line).

### Step 2: Draw a Quadrilateral with Unequal Sides
- Above the reflection line, draw any quadrilateral (a polygon with four sides) ensuring that all four sides are unequal.
- Label the vertices of this quadrilateral (e.g., **A, B, C, D**) for easier reference.

### Step 3: Reflect the Quadrilateral
- Reflect the quadrilateral below the reflection line by using the following procedure:
  - Measure the **perpendicular distance** from each vertex (A, B, C, D) of the quadrilateral to the reflection line.
  - Plot a corresponding point on the opposite side of the reflection line, ensuring that it is the same distance from the line as the original vertex but in the opposite direction.
  - Label the reflected points accordingly (A', B', C', D').
  - Connect the reflected points to form the reflected quadrilateral.

### Step 4: Check if the Reflection is Correct
To verify the accuracy of your reflection:
- **Equal Distances**: Measure the distance from each original vertex to the reflection line and ensure the corresponding reflected point has the same distance from the reflection line but in the opposite direction.
- **Symmetry**: Check that the reflected quadrilateral is a mirror image of the original quadrilateral. Each side of the reflected quadrilateral should match the corresponding side of the original quadrilateral in length, but flipped.
- **Orientation**: The orientation of the shape should be reversed in the reflected image, i.e., if the original quadrilateral had vertices labeled in a clockwise direction, the reflected quadrilateral’s vertices should follow a counterclockwise direction (or vice versa).

### Do you need more details or have any other questions?

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Here are 5 follow-up questions to expand your understanding:
1. How would the reflection change if the line were vertical instead of horizontal?
2. What are the properties of a shape that remain unchanged after reflection?
3. How can you reflect a shape if the reflection line is diagonal?
4. How would you reflect a triangle with two equal sides instead of a quadrilateral?
5. How do you find the equation of the reflection line given two points of a quadrilateral?

#### Tip: 
Use the graph paper grid to help measure and reflect points accurately—it helps ensure symmetry.

Learn how to reflect a quadrilateral with unequal sides across a horizontal reflection line on graph paper. This problem explores geometric reflection, symmetry, and the distance formula, and is ideal for students in Grades 6-8. Includes step-by-step guidance on verifying correct reflection.

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