Triangle xyz is reflected across the y-axis, and point $x$ has coordinates $(4,-5)$. What are the coordinates of $x\text{'}$ after the reflection?

• A. $(-4,-5)$
• B. $(4,5)$
• C. $(-4,5)$
• D. $(5,-4)$

Answer: (A)

Verified step by step guidance

1. Understand that reflecting a point across the y-axis changes the x-coordinate to its opposite sign, while the y-coordinate remains the same.
2. Identify the original coordinates of point x as (4, -5).
3. Apply the reflection rule: the new x-coordinate will be -4 (the opposite of 4), and the y-coordinate remains -5.
4. Write the coordinates of the reflected point x' as \((-4, -5)\).
5. Verify that the reflection across the y-axis only affects the x-coordinate, confirming the correctness of the new coordinates.