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To map Figure \( N \) onto Figure \( O \), we need to determine a sequence of geometric transformations that would move and adjust Figure \( N \) to coincide with Figure \( O \). Let's analyze the transformations step-by-step:

1. **Reflection**: It appears that Figure \( N \) and Figure \( O \) are reflections of each other across the \( x \)-axis. A reflection across the \( x \)-axis changes the sign of the \( y \)-coordinates of each point. This should bring the shape of Figure \( N \) into alignment with Figure \( O \).

2. **Translation**: After reflecting, the position of the shape will still need adjustment. We can see that Figure \( N \) is below and to the left of Figure \( O \). Therefore, we can apply a translation, moving the reflected figure to the correct position by shifting it along the \( x \)-axis and \( y \)-axis.

Thus, the transformation sequence is:

- **Step 1: Reflect Figure \( N \) across the \( x \)-axis**.
- **Step 2: Translate the reflected figure** by shifting it to the right and upwards to coincide with Figure \( O \).

Would you like more detailed explanations or calculations? Here are some related questions to explore:

1. How do reflections across axes affect the coordinates of a shape?
2. What is the general rule for translating a figure in the coordinate plane?
3. How would the transformation change if the reflection were across the \( y \)-axis instead?
4. Can a rotation or dilation also map Figure \( N \) onto Figure \( O \)?
5. How can you verify that the transformation sequence is correct?

**Tip**: Always verify transformations by checking the new coordinates of key points in the figure to ensure alignment.

Determine a series of transformations that would map Figure N onto Figure O.

Discover how to map Figure N onto Figure O by applying geometric transformations. This problem involves reflecting across the x-axis and translating the figure. Perfect for students in Grades 8-10 studying coordinate geometry.

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