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question
point h is located at (1, -2) on the coordinate plane. point h is reflected over the x - axis to create point h. what ordered pair describes the location of h?
answer attempt 1 out of 2
h (□, □)
Step1: Recall reflection over x - axis rule
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 point \(H(1,-2)\)
For point \(H(1,-2)\), the \(x\) - coordinate is \(x = 1\), and the \(y\) - coordinate is \(y=-2\). When we reflect over the \(x\) - axis, the new \(x\) - coordinate is still \(1\), and the new \(y\) - coordinate is \(-(-2)=2\). So the coordinates of \(H'\) are \((1,2)\).
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\(H'(1,2)\)