Question

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

Explanation:

Step1: Identify the line of reflection

The dashed line is \(x = - 1\).

Step2: Calculate the distance from point A to the line of reflection

The x - coordinate of point A is \(x_A=-2\). The distance from \(x = - 2\) to \(x=-1\) is \(d=\vert-2-(-1)\vert = 1\).

Step3: Find the new x - coordinate

The new x - coordinate of the reflected point \(A'\) is \(x_{A'}= - 1+( - 1-( - 2))=-1 + 1=0\).

Step4: Determine the y - coordinate

The y - coordinate of a point does not change when reflecting over a vertical line. The y - coordinate of point A is \(y_A=-4\), so \(y_{A'}=-4\).

Answer:

\((0,-4)\)