Question

finding a pre - image figure abcde was reflected across the line y = x to create figure abcde. what are the coordinates of the pre - image of e? e( , )

Explanation:

Step1: Recall reflection rule

When reflecting a point across the line $y = x$, the coordinates $(x,y)$ of the image and pre - image are swapped, i.e., if the image has coordinates $(x_1,y_1)$ the pre - image has coordinates $(y_1,x_1)$.

Step2: Identify coordinates of E'

From the graph, the coordinates of $E'$ are $(8, - 4)$.

Step3: Find pre - image coordinates

Swapping the $x$ and $y$ coordinates of $E'$, the pre - image of $E'$ (point $E$) has coordinates $(-4,8)$.

Answer:

$(-4,8)$