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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 $y=-x$.
$k$(□, □)
$l$(□, □)
$m$(□, □)
$n$(□, □)

Explanation:

Step1: Identify original coordinates

Original vertices: $K(3,5)$, $L(6,7)$, $M(3,9)$, $N(-1,7)$

Step2: Apply reflection rule $y=-x$

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

  • $K'$: $(-5, -3)$
  • $L'$: $(-7, -6)$
  • $M'$: $(-9, -3)$
  • $N'$: $(-7, 1)$

Answer:

$K'(-5, -3)$
$L'(-7, -6)$
$M'(-9, -3)$
$N'(-7, 1)$