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Question
the point b(5, 2) is reflected over the x-axis. what are the coordinates of the resulting point, b? b(box, box) submit
Step1: Recall the reflection rule over the 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 formula is \((x,y)\to(x, - y)\).
Step2: Apply the rule to the given point
For the point \(B(5,2)\), here \(x = 5\) and \(y=2\). After reflection over the \(x\) - axis, the \(x\) - coordinate is still \(5\), and the \(y\) - coordinate becomes \(-2\).
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\((5,-2)\)