Question

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

Explanation:

Step1: Determine the distance to the line

The dashed line is $x = 1$. The $x$-coordinate of point $B$ is $- 2$. The distance between $x=-2$ and $x = 1$ is $|1-(-2)|=3$.

Step2: Calculate the new x - coordinate

To find the new $x$-coordinate of the reflected point, we add the distance to the line to the $x$-coordinate of the line. So, $1 + 3=4$.

Step3: Keep the y - coordinate

When reflecting a point over a vertical line, the $y$-coordinate remains the same. The $y$-coordinate of point $B$ is $2$, so the new $y$-coordinate is also $2$.

Answer:

$(4,2)$