figure abcde was reflected across the line y = x to create figure abcde. what are the coordinates of the pre…

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

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

Answer

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected across the line $y = x$, the coordinates of the image are $(y,x)$. So, to find the pre - image of a point reflected across $y=x$, we swap the $x$ and $y$ coordinates of the image point.

Step2: Identify coordinates of E'

From the graph, the coordinates of point $E'$ are $(6, - 2)$.

Step3: Find pre - image coordinates

Swapping the $x$ and $y$ coordinates of $E'$, the pre - image of $E'$ has coordinates $(-2,6)$.

Answer:

$(-2,6)$