Question

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

Explanation:

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 formula for reflection over the \(x\) - axis is \((x,y)\to(x, - y)\).

Step2: Apply the rule to point \(H\)

Point \(H\) has coordinates \((1,-2)\). Here, \(x = 1\) and \(y=-2\). Using the reflection rule over the \(x\) - axis, we substitute into the formula. The new \(x\) - coordinate is still \(1\), and the new \(y\) - coordinate is \(-(-2)=2\). So the coordinates of point \(H'\) (the image of \(H\) after reflection over the \(x\) - axis) are \((1,2)\).

Answer:

\((1,2)\)