Question

reflect point c over the dashed line. enter the new coordinates. c = (?, )

Explanation:

Step1: Analyze x - coordinate change

The line of reflection is a horizontal line \(y = 2\). When reflecting a point over a horizontal line, the x - coordinate remains the same. The x - coordinate of point C is \(-4\), so the x - coordinate of \(C'\) is also \(-4\).

Step2: Analyze y - coordinate change

The distance between the y - coordinate of point C (\(y = 3\)) and the line \(y = 2\) is \(d=3 - 2=1\). After reflection over the line \(y = 2\), the new y - coordinate is \(2-(3 - 2)=1\).

Answer:

\(C'=(-4,1)\)