Question

the point k(5, 6) is reflected over the x-axis. what are the coordinates of the resulting point, k? (the image is a coordinate grid with point k plotted at (5,6))

Explanation:

Step1: Recall the reflection rule over x - axis

When a point \((x,y)\) is reflected over the \(x\) - axis, the rule is \((x,y)\to(x, - y)\).

Step2: Apply the rule to point \(K(5,6)\)

For the point \(K(5,6)\), here \(x = 5\) and \(y=6\). Using the rule \((x,y)\to(x, - y)\), we get \(x\) remains \(5\) and \(y\) becomes \(-6\).

Answer:

\((5,-6)\)