Question

point m is located at (-4, 4) on the coordinate plane. point m is reflected over the y-axis to create point m. point m is then reflected over the x-axis to create point m. what ordered pair describes the location of m? answer m(□, □)

Explanation:

Step1: Reflect over y - axis

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is \((x,y)\to(-x,y)\). For point \(M(-4,4)\), when we reflect it over the \(y\) - axis, \(x=-4\) changes to \(-(-4) = 4\) and \(y = 4\) remains the same. So, \(M'=(4,4)\).

Step2: Reflect over x - axis

The rule for reflecting a point \((x,y)\) over the \(x\) - axis is \((x,y)\to(x,-y)\). For point \(M'(4,4)\), when we reflect it over the \(x\) - axis, \(x = 4\) remains the same and \(y = 4\) changes to \(-4\). So, \(M''=(4,-4)\).

Answer:

\(M''(4,-4)\)