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The problem asks for the coordinates of point \( C' \), which is the reflection of point \( C(4, -5) \) across the x-axis.

To reflect a point across the x-axis, you negate its y-coordinate while keeping the x-coordinate the same. 

Given that point \( C \) is located at \( (4, -5) \), its reflection across the x-axis would be:

\[
C'(4, 5)
\]

Thus, the coordinates of \( C' \) are \( (4, 5) \).

Would you like more details on reflections or have any other questions?

Here are 5 related questions for further exploration:
1. How would you reflect a point across the y-axis?
2. What are the coordinates of the reflection of \( (4, -5) \) across the origin?
3. If a point is reflected twice, once across the x-axis and then across the y-axis, what would be the result?
4. How do you determine the reflection of a point across a diagonal line like \( y = x \)?
5. What are the rules for reflecting a point across a general line \( y = mx + b \)?

**Tip:** When reflecting across an axis, always pay attention to whether you're changing the x or y value based on which axis is involved!

If point C is located at (4, -5), what are the coordinates of C', its reflection across the x-axis?

Learn how to find the coordinates of a point reflected across the x-axis. In this problem, we explore the reflection of point C(4, -5) and find its new coordinates, C'(4, 5). This concept is part of geometry and is suitable for students in Grades 6-8.

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