Question

1. a point a(5,6) is reflected over the x - axis. what is the new coordinate? (-5,6) (-5,-6) (5,-6) (5,6)

Explanation:

Step1: Recall the reflection rule over x - axis

When a point \((x,y)\) is reflected over the \(x\) - axis, the \(x\) - coordinate remains the same, and the \(y\) - coordinate changes its sign. The rule is \((x,y)\to(x, - y)\).

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

Here \(x = 5\) and \(y=6\). Using the rule \((x,y)\to(x, - y)\), we substitute \(x = 5\) and \(y = 6\) into the formula. So the new \(y\) - coordinate is \(-6\) and the \(x\) - coordinate remains \(5\).

Answer:

\((5,-6)\) (the third option)