Question

reflections find the coordinates
the point b(-2,5) is reflected over the y-axis. what are the coordinates of the resulting point, b?

b(-2, -5) b(-2,5)
b(2, -5) b(2, 5)

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 \(P(x,y)\), after reflection over the \(y\) - axis, the new point \(P'\) has coordinates \((-x,y)\).

Step2: Apply the rule to point \(B(-2,5)\)

For the point \(B(-2,5)\), where \(x=-2\) and \(y = 5\). When we reflect it over the \(y\) - axis, we change the sign of the \(x\) - coordinate. So the new \(x\) - coordinate is \(-(-2)=2\), and the \(y\) - coordinate remains \(5\). So the coordinates of \(B'\) are \((2,5)\).

Answer:

\(B'(2,5)\)