Question

reflections find the coordinates
the point t(4,4) is reflected over the y-axis. what are the coordinates of the resulting point, t
?
image of a coordinate plane with point t plotted
t(4, -4) t(-4, 4)
t(-4, -4) t(4, 4)

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is that the \(x\) - coordinate changes its sign and the \(y\) - coordinate remains the same. So, if we have a point \((x,y)\), after reflection over the \(y\) - axis, the new point \((x',y')\) is given by \(x'=-x\) and \(y' = y\).

Step2: Apply the rule to point \(T(4,4)\)

For the point \(T(4,4)\), where \(x = 4\) and \(y = 4\). Using the reflection rule over the \(y\) - axis, the new \(x\) - coordinate \(x'=-4\) and the new \(y\) - coordinate \(y' = 4\). So the coordinates of \(T'\) are \((-4,4)\).

Answer:

\(T'(-4,4)\)