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write the coordinates of the vertices after a reflection over the line …

Question

write the coordinates of the vertices after a reflection over the line $y = -x$.
$c(\square, \square)$
$d(\square, \square)$
$e(\square, \square)$

Explanation:

Step1: Identify original vertices

Original coordinates: $C(2,0)$, $D(6,0)$, $E(2,10)$

Step2: Apply reflection rule $y=-x$

For a point $(x,y)$, reflection over $y=-x$ is $(-y,-x)$.

  • For $C(2,0)$: $(-0, -2)=(0,-2)$
  • For $D(6,0)$: $(-0, -6)=(0,-6)$
  • For $E(2,10)$: $(-10, -2)$

Answer:

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