Question

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

Explanation:

Step1: Analyze x - coordinate

The x - coordinate remains the same when reflecting over a horizontal line. The x - coordinate of point A is 4, so the x - coordinate of A' is also 4.

Step2: Analyze y - coordinate

The line of reflection is y = - 2. The distance between the y - coordinate of point A (y = 1) and the line y=-2 is \(d=1-(-2)=3\). The new y - coordinate of A' is \(-2 - 3=-5\).

Answer:

\((4,-5)\)