https://file.aiquickdraw.com/mathbot/file/17298588390335nj4b0bk.jpg

The transformation depicted in the image involves two triangles: one in red (pre-image) and one in blue (image). Based on the figure and coordinates of the points, here’s the analysis:

1. The red triangle \( A'B'C' \) (pre-image) is transformed into the blue triangle \( ABC \) (image).
2. Comparing the coordinates, it appears that the red triangle has undergone a **reflection** across the y-axis (as the x-coordinates change signs). After the reflection, the figure seems to have been **translated** by moving the entire figure to the right.

Thus, the correct composition of transformations is **Reflection and Translation**.

Do you want further details on the transformations or have any questions?

Here are 5 related questions:
1. How do you identify a reflection on a coordinate plane?
2. What is the rule for a reflection across the y-axis?
3. How does translation differ from rotation in geometric transformations?
4. Can a transformation involve more than two steps?
5. What are some real-life examples of reflections and translations?

**Tip:** When analyzing transformations, always compare the coordinates before and after the transformation to spot patterns (e.g., signs change for reflections, and values shift for translations).

What composition of transformations took place?

Explore how geometric transformations like reflection and translation work together. Analyze the coordinate changes to understand how a shape is reflected across the y-axis and then translated. This problem is designed for students in Grades 7-9 and covers essential concepts in transformations.

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