Question

figure abcd was reflected across the x - axis to create figure abcd. what are the coordinates of the pre - image of b? (2, - 8) (-8, - 2) (-2, 8) (8, 2)

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 from the image, we reverse the rule. If the image point is $(x,y)$ after reflection across the $x -$axis, the pre - image is $(x,-y)$.

Step2: Identify coordinates of B'

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

Step3: Apply reverse - reflection rule

Using the rule to find the pre - image, if $B'=(2,8)$, then the pre - image of $B'$ has coordinates $(2,- 8)$.

Answer:

$(2,-8)$