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The problem involves reflecting triangle ABC over the y-axis. To find the coordinates of the reflected triangle, we need to apply the rule for reflecting points over the y-axis:  
- For a point \((x, y)\), its reflection over the y-axis will be \((-x, y)\).

Let’s apply this to each vertex of triangle ABC.

- Point A is at \((-2, 5)\). Its reflection, \(A'\), will be at \((2, 5)\).
- Point B is at \((3, -3)\). Its reflection, \(B'\), will be at \((-3, -3)\).
- Point C is at \((4, -1)\). Its reflection, \(C'\), will be at \((-4, -1)\).

Therefore, the coordinates of the reflected triangle A'B'C' are:
- \(A'(2, 5)\),
- \(B'(-3, -3)\),
- \(C'(-4, -1)\).

The correct answer is \(A'(2, 5), B'(-3, -3), C'(-4, -1)\), which corresponds to the third option in the list.

Do you want further details on reflections, or have any questions?

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Here are 5 related questions to practice:
1. What are the coordinates of a point \((4, -6)\) reflected over the x-axis?
2. How do the coordinates change when reflecting a point over the origin?
3. What is the rule for reflecting a point over the line \(y = x\)?
4. Can a triangle be mapped to itself by reflection? Under what conditions?
5. What is the result of reflecting a triangle over both the x-axis and the y-axis?

**Tip:** When reflecting over the y-axis, only the x-coordinate changes sign, while the y-coordinate remains the same.

Triangle ABC will be reflected over the y-axis. What will be the coordinates of A'B'C'?

Learn how to reflect triangle ABC over the y-axis in this coordinate geometry problem. The reflection formula for a point (x, y) to (-x, y) is applied. Suitable for students in Grades 7-9.

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