https://file.aiquickdraw.com/mathbot/file/1726008379289kgc871qp.jpg

what are the coordinates for PURPLE POINT A, PURPLE POINT B, AND PURPLE POINT C

Looking at the image provided, we need to identify the coordinates of the purple points \( A' \), \( B' \), and \( C' \) on the graph.

Based on the visual representation:

- The coordinates for the purple point \( A' \) appear to be approximately at \( (2, 6) \).
- The coordinates for the purple point \( B' \) appear to be around \( (5, 3) \).
- The coordinates for the purple point \( C' \) are close to \( (4, 1) \).

Would you like further clarification or any additional details about this transformation? 

Here are 5 related questions to consider:
1. What type of transformation does this graph represent?
2. What are the original coordinates of the red points \( A \), \( B \), and \( C \)?
3. How can you find the scale factor if this is a dilation?
4. What changes between the red and purple points if this is a reflection or rotation?
5. How can transformations like these be described algebraically?

**Tip:** When working with transformations on a graph, it's important to determine if you're dealing with translations, rotations, reflections, or dilations by comparing the distances and angles between points.

Explore how to identify the coordinates of points after transformations on a Cartesian plane. This problem involves basic coordinate plotting suitable for middle school students in Grades 6-8. It covers understanding shifts and transformations in a two-dimensional space.

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