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To solve this problem, we need to perform two transformations on point \( T = (-2, 5) \).

### Step 1: Reflection across \( x = 0 \) (the y-axis)
- Reflecting a point across the y-axis changes the sign of the x-coordinate while keeping the y-coordinate the same.
- For \( T = (-2, 5) \), after reflection across the y-axis, the coordinates become \( T' = (2, 5) \).

### Step 2: Reflection across \( y = 0 \) (the x-axis)
- Reflecting a point across the x-axis changes the sign of the y-coordinate while keeping the x-coordinate the same.
- For \( T' = (2, 5) \), after reflection across the x-axis, the coordinates become \( T'' = (2, -5) \).

### Final Answer
The coordinates of point \( T'' \) after both reflections are:
\[
(2, -5)
\]

Would you like more details or have any questions?

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### Related Questions
1. What would be the coordinates if \( T \) was reflected only across the x-axis?
2. How would the coordinates change if the initial point was at \( (-2, -5) \) instead?
3. What transformations keep a point at the same coordinates?
4. How do reflections across diagonal lines, like \( y = x \), affect coordinates?
5. If we reflect the point across the line \( y = -x \), what will be the result?

### Tip
For reflections, changing the sign of the coordinate perpendicular to the line of reflection can help quickly determine the result.

Point T is at (-2, 5). What are the coordinates of point T' after a reflection across x = 0 and then y = 0?

Learn how to find the coordinates of a point after performing reflections across both the y-axis (x = 0) and the x-axis (y = 0). This example uses point T at (-2, 5) and provides step-by-step instructions. Ideal for students in Grades 8-10 studying coordinate geometry and transformations.

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