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write the coordinates of the vertices after a translation 2 units left …

Question

write the coordinates of the vertices after a translation 2 units left and 9 units down.
c(\boxed{ }, \boxed{ })
d(\boxed{ }, \boxed{ })
e(\boxed{ }, \boxed{ })

Explanation:

Step1: Identify original coordinates

Original vertices: $C(-1, 6)$, $D(6, 6)$, $E(-4, -1)$

Step2: Apply translation rule

For a point $(x,y)$, translate 2 left ($x-2$) and 9 down ($y-9$):

  • $C'$: $x=-1-2=-3$, $y=6-9=-3$
  • $D'$: $x=6-2=4$, $y=6-9=-3$
  • $E'$: $x=-4-2=-6$, $y=-1-9=-10$

Answer:

$C'(-3, -3)$
$D'(4, -3)$
$E'(-6, -10)$