Point T is at $(-2,5)$. What are the coordinates of point T' after reflecting over the y-axis followed by the x-axis?

• A. $(2,-5)$
• B. $(-2,5)$
• C. $(2,5)$
• D. $(-2,-5)$

Answer: (A)

Verified step by step guidance

1. Identify the original coordinates of point T, which are given as \((-2, 5)\).
2. Recall that reflecting a point over the y-axis changes the x-coordinate to its opposite, while the y-coordinate remains the same. So, after reflecting over the y-axis, the new coordinates become \(( -(-2), 5 )\).
3. Simplify the coordinates after the first reflection to get \((2, 5)\).
4. Next, reflect the point \((2, 5)\) over the x-axis. Reflecting over the x-axis changes the y-coordinate to its opposite, while the x-coordinate remains the same. So, the coordinates become \((2, -5)\).
5. Thus, after reflecting point T over the y-axis followed by the x-axis, the coordinates of point T' are \((2, -5)\).