Question

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 C

The coordinates of point C are $(2,0)$. Using the rule, $(2,0)\to(0, - 2)$.

Step3: Find coordinates of D

The coordinates of point D are $(6,0)$. Using the rule, $(6,0)\to(0,-6)$.

Step4: Find coordinates of E

The coordinates of point E are $(2,10)$. Using the rule, $(2,10)\to(-10,-2)$.

Answer:

C'$(0,-2)$, D'$(0,-6)$, E'$(-10,-2)$