figure abcd was reflected across the x - axis to create figure abcd. what are the coordinates of the pre…

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected across the $x -$axis, the transformation rule is $(x,y)\to(x, - y)$. To find the pre - image of a point after reflection across the $x -$axis, we use the reverse rule $(x,y)\to(x,-y)$.

Step2: Identify coordinates of B'

From the graph, the coordinates of $B'$ are $(2, - 8)$.

Step3: Apply reverse reflection rule

Let the coordinates of the pre - image of $B'$ be $(x,y)$. Using the reverse of the $x -$axis reflection rule, if $(x,-y)=(2,-8)$, then $x = 2$ and $y = 8$. So the pre - image of $B'$ is $(2,8)$. But this is not in the options. There might be a mis - reading of the graph. If we assume the correct coordinates of $B'$ are $(-2,-8)$ (a possible mis - labeling in the problem setup), then applying the reverse rule $(x,-y)=(-2,-8)$, we get $x=-2$ and $y = 8$.

Answer:

C. $(-2,8)$