Question

the point d(-2, -3) is reflected over the x-axis. what are the coordinates of the resulting point, d? d((square, square))

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 the reflection of a point \((x,y)\) over the \(x\) - axis is \((x,y)\to(x, - y)\).

Step2: Apply the rule to point \(D(-2,-3)\)

For the point \(D(-2,-3)\), the \(x\) - coordinate is \(x=-2\) and the \(y\) - coordinate is \(y = - 3\). After reflection over the \(x\) - axis, the new \(x\) - coordinate will still be \(-2\), and the new \(y\) - coordinate will be \(-(-3)=3\).

Answer:

\(D'(-2,3)\)