Question

the point t(5, -5) is reflected over the y-axis. what are the coordinates of the resulting point, t?

Explanation:

Step1: Recall the reflection rule over y - axis

When a point \((x,y)\) is reflected over the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).

Step2: Apply the rule to the given point

For the point \(T(5,-5)\), here \(x = 5\) and \(y=-5\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x = 5\) into \(-x\). So \(-x=-5\) and \(y\) remains \(-5\).

Answer:

The coordinates of the resulting point \(T'\) are \((-5,-5)\)