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

figure abcdef was reflected across the line y = -x to create figure abcdef. what are the coordinates of the pre - image of f? (-2, 4) (4, 2) (2, -4) (-4, -2)

figure abcdef was reflected across the line y = -x to create figure abcdef. what are the coordinates of the pre - image of f? (-2, 4) (4, 2) (2, -4) (-4, -2)

Answer

Answer:

(4, 2)

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 $(- 2,-4)$.

Step3: Apply reverse - reflection

Let the pre - image of $F'$ be $(x,y)$. Using the reflection rule in reverse, if $(-y,-x)=(-2,-4)$, then $y = 2$ and $x = 4$. So the pre - image of $F'$ is $(4,2)$.