Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

figure abcde was reflected across the line y = x to create figure abcde…

Question

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 pre - image and the image $(y,x)$ are swapped.

Step2: Identify coordinates of E'

From the graph, the coordinates of point E' are $(6,-4)$.

Step3: Find pre - image coordinates

Swapping the $x$ and $y$ coordinates of E', the pre - image coordinates of E are $(-4,6)$.

Answer:

$(-4,6)$