Triangle xyz is reflected across the x-axis, and $x=(-11,8)$. What are the coordinates of $x\text{'}$ after the reflection?

• A. $(-11,8)$
• B. $(-8,-11)$
• C. $(11,8)$
• D. $(-11,-8)$

Answer: (D)

Verified step by step guidance

1. Identify the original coordinates of point x, which are given as \((-11, 8)\).
2. Recall that reflecting a point across the x-axis changes the sign of the y-coordinate while keeping the x-coordinate the same.
3. Apply the reflection rule: if the original point is \((x, y)\), then the reflected point across the x-axis is \((x, -y)\).
4. Substitute the original coordinates into the reflection formula: \(x' = -11\) and \(y' = -8\).
5. Write the coordinates of the reflected point as \((-11, -8)\).