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

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)

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)

Answer

Answer:

C. (-2, 8)

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected across the $x -$axis, the rule is $(x,y)\to(x, - y)$.

Step2: Identify coordinates of B'

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

Step3: Find pre - image

Let the pre - image of $B'$ be $(x,y)$. Using the reflection rule $(x,y)\to(x, - y)$, if $(x,-y)=(-2,-8)$, then $x=-2$ and $y = 8$. So the pre - image is $(-2,8)$.