Question

point k is located at (-2, -5) on the coordinate plane. point k is reflected over the y - axis to create point k. point k is then reflected over the x - axis to create point k. what ordered pair describes the location of k?

Explanation:

1. Transformation rule for reflection over the \(y\) - axis:

To reflect a point \((x,y)\) over the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).
Given \(K(-2,-5)\), when reflected over the \(y\) - axis, for \(K(-2,-5)\) with \(x = - 2\) and \(y=-5\), we have \(K'(-(-2),-5)=(2,-5)\).

2. Transformation rule for reflection over the \(x\) - axis:

To reflect a point \((x,y)\) over the \(x\) - axis, the rule is \((x,y)\to(x,-y)\).
Now, we have \(K'(2,-5)\). Applying the reflection over the \(x\) - axis rule, with \(x = 2\) and \(y=-5\), we get \(K''(2,-(-5))=(2,5)\).

Answer:

\((2,5)\)