Question

complete this assessment to review what youve learned. it will not count toward your grade. use the image to answer the question. part a(-3, 2) is to be reflected over the vertical line x = 1. what are the coordinates of the image of a?

Explanation:

Step1: Calculate the distance between x - coordinate of point A and the line of reflection

The x - coordinate of point A is $x_A=-3$, and the line of reflection is $x = 1$. The distance $d$ between them is $d=\vert1-(-3)\vert=\vert1 + 3\vert=4$.

Step2: Find the x - coordinate of the reflected point

The reflected point $A'$ has an x - coordinate such that the distance from the line of reflection $x = 1$ is the same as the distance of point A from the line of reflection. So, $x_{A'}=1 + 4=5$.

Step3: Determine the y - coordinate of the reflected point

When reflecting a point over a vertical line, the y - coordinate remains the same. The y - coordinate of point A is $y_A = 2$, so $y_{A'}=2$.

Answer:

$(5,2)$