https://file.aiquickdraw.com/mathbot/file/1730328633249mmbywcww.jpg

To determine the correct transformation between Figure 1 and Figure 2, let’s analyze their relative positions and orientations:

1. **Observation of Coordinates**: Figure 1 and Figure 2 are mirror images across the y-axis. Each point in Figure 1 has an equivalent in Figure 2 with the x-coordinate sign reversed (e.g., a point at \((-4, 8)\) in Figure 1 matches a point at \((4, 8)\) in Figure 2).

2. **Transformation Type**: Since the points only differ by the sign of the x-coordinates, this is characteristic of a **reflection** across the y-axis.

### Answer:
The correct answer is:
- **c. Reflection**

Would you like further details on how reflections work, or do you have any other questions?

### Related Questions:
1. How does reflection affect the coordinates of a shape across different axes?
2. What transformations would involve rotating a shape instead?
3. How can you identify a translation transformation between two figures?
4. What is the difference between dilation and reflection in transformations?
5. How do you verify if a transformation maintains the orientation of a shape?

**Tip:** Reflections across the y-axis will change the sign of the x-coordinates, while keeping the y-coordinates the same.

Figure 1 can be transformed to create Figure 2 using a single transformation. Which transformation can be used to accomplish this?
Options:
a. Dilation
b. Rotation
c. Reflection
d. Translation

Understand how to determine the correct geometric transformation to create Figure 2 from Figure 1 using a single transformation. Learn about reflections across the y-axis and how it affects coordinates. Suitable for students in Grades 8-10.

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