Question

reflect point a over the dashed line. enter the new coordinates. a = (?, ) a (-2,-4)

Explanation:

Step1: Determine distance to line

The dashed line is $x = - 1$. The $x$-coordinate of point $A$ is $-2$. The distance between $x=-2$ and $x = - 1$ is $|-2-(-1)|=1$.

Step2: Calculate new x - coordinate

To reflect over $x=-1$, we move the same distance on the other side of the line. So the new $x$-coordinate is $-1+( - 1-(-2))=0$.

Step3: Note y - coordinate

The $y$-coordinate remains the same during a reflection over a vertical line. So the $y$-coordinate of the reflected point is $-4$.

Answer:

$(0,-4)$