what is the pre - image of vertex a if the image shown on the graph was created by a reflection across the…

what is the pre - image of vertex a if the image shown on the graph was created by a reflection across the line y = x? (10, - 2) (-10, 2) (-2, -10) (2, 10)

what is the pre - image of vertex a if the image shown on the graph was created by a reflection across the line y = x? (10, - 2) (-10, 2) (-2, -10) (2, 10)

Answer

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the line $y = x$, the transformation rule is $(x,y)\to(y,x)$.

Step2: Identify coordinates of A'

From the graph, assume the coordinates of $A'$ are $(10, - 2)$.

Step3: Apply the rule

To find the pre - image, swap the $x$ and $y$ coordinates. So the pre - image of $(10,-2)$ is $(-2,10)$.

Answer:

$(-2,10)$