https://file.aiquickdraw.com/mathbot/file/1729885331959k4y9vfan.jpg

To map **Figure I** onto **Figure J**, we need to analyze the geometric transformations involved. The following steps will describe how this transformation can be done:

### 1. **Reflection:**
   - **Reflect** Figure I over the **x-axis**. This flips the figure, making its orientation match that of Figure J.

### 2. **Translation:**
   - **Translate** the reflected figure up by 10 units and to the right by 6 units. This will move the figure from its current position to the position of Figure J.

### Transformation Summary:
- **Step 1**: Reflect over the x-axis.
- **Step 2**: Translate by the vector (6, 10).

This series of transformations should map Figure I perfectly onto Figure J.

Would you like more details or have any questions?

### Relative Questions:
1. How do you mathematically describe a reflection over the x-axis?
2. Can any other series of transformations achieve the same result?
3. What is the general rule for translating a figure in the coordinate plane?
4. How can you determine if two figures are congruent after transformations?
5. What happens to the orientation of a figure after a reflection?

### Tip:
Always verify transformations by checking if corresponding points on the pre-image and image match up after each transformation.

Determine a series of transformations that would map Figure I onto Figure J.

Learn how to map Figure I onto Figure J using a reflection over the x-axis followed by a translation. This problem covers key transformation concepts including reflection and translation, suitable for high school students (Grades 9-12).

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