Question

reflections find the coordinates
the point v(-5,6) is reflected over the y-axis. what are the coordinates of the resulting point, v?
image of a coordinate grid with point v and y-axis
options:
v(-5, -6)
v(5, 6)
v(5, -6)
v(-5, 6)

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 \(V(-5,6)\)

For the point \(V(-5,6)\), here \(x=-5\) and \(y = 6\). When we reflect over the \(y\) - axis, the new \(x\) - coordinate is \(-(-5)=5\) and the \(y\) - coordinate remains \(6\). So the coordinates of \(V'\) are \((5,6)\).

Answer:

\(V'(5,6)\)