Question

write the coordinates of the vertices after a translation 3 units right and 12 units down.

Explanation:

Step1: Determine original coordinates

The original coordinates of point E are (- 4,4), of point F are (- 4,9), of point G are (2,9) and of point H are (2,4).

Step2: Apply translation rule for x - coordinate

The translation 3 units right means we add 3 to the x - coordinate of each point. For point E: $x=-4 + 3=-1$, for point F: $x=-4 + 3=-1$, for point G: $x=2+3 = 5$, for point H: $x=2 + 3=5$.

Step3: Apply translation rule for y - coordinate

The translation 12 units down means we subtract 12 from the y - coordinate of each point. For point E: $y=4-12=-8$, for point F: $y=9-12=-3$, for point G: $y=9-12=-3$, for point H: $y=4-12=-8$.

Answer:

$E'(-1,-8)$, $F'(-1,-3)$, $G'(5,-3)$, $H'(5,-8)$