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?

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.