Question

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

Explanation:

Step1: Analyze the vertical distance

The point A has a y - coordinate of 1 and the line of reflection is at y = - 2. The vertical distance between y = 1 and y=-2 is $d=1-(-2)=3$.

Step2: Calculate the new y - coordinate

When reflecting over the line y = - 2, the new y - coordinate of the reflected point $y_{new}=-2 - 3=-5$. The x - coordinate remains the same as there is no horizontal transformation. The x - coordinate of point A is 4, so the x - coordinate of the reflected point $A'$ is also 4.

Answer:

$(4, - 5)$