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

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the line $y = -x$ is $(x,y)\to(-y,-x)$.

Step2: Identify coordinates of F'

From the graph, the coordinates of $F'$ are $(4,2)$.

Step3: Apply inverse - reflection

Let the coordinates of $F$ be $(x,y)$. Using the inverse of the reflection rule, if $(x,y)$ is reflected to $(4,2)$ across $y=-x$, then $x=-2$ and $y = - 4$. So the pre - image of $F$ has coordinates $(-2,4)$.

Answer:

$(-2,4)$