Question

point t is located at (-1, 1) on the coordinate plane. point t is reflected over the y-axis to create point t. what ordered pair describes the location of t? answer t (\boxed{ }, \boxed{ })

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. Mathematically, 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 \(T(-1,1)\)

For point \(T\) with coordinates \((x=-1,y = 1)\), when we reflect it over the \(y\) - axis:

• The new \(x\) - coordinate \(x'\) is \(-x=-(-1)=1\) (since \(x=-1\)).
• The new \(y\) - coordinate \(y'\) is the same as the original \(y\) - coordinate, so \(y'=1\).

Answer:

\(T'(1,1)\)