write the coordinates of the vertices after a reflection over the line y = -x.

Explanation:

Step1: Recall reflection rule

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

Step2: Find coordinates of $E$

The coordinates of point $E$ are $(1,0)$. Using the rule $(x,y)\to(-y,-x)$, we have $E'(0, - 1)$.

Step3: Find coordinates of $F$

The coordinates of point $F$ are $(9,0)$. Using the rule $(x,y)\to(-y,-x)$, we get $F'(0,-9)$.

Step4: Find coordinates of $G$

The coordinates of point $G$ are $(1,10)$. Using the rule $(x,y)\to(-y,-x)$, we obtain $G'(-10,-1)$.

Answer:

$E'(0, - 1)$ $F'(0,-9)$ $G'(-10,-1)$