Question

write the coordinates of the vertices after a translation 2 units down.

Explanation:

Step1: Identify original coordinates

Original vertices: $D(-5, -2)$, $E(-5, 2)$, $F(2, -1)$

Step2: Apply translation rule

For a 2-unit down translation, subtract 2 from each $y$-coordinate:
New $D$: $(-5, -2-2) = (-5, -4)$
New $E$: $(-5, 2-2) = (-5, 0)$
New $F$: $(2, -1-2) = (2, -3)$

Answer:

$D'(-5, -4)$, $E'(-5, 0)$, $F'(2, -3)$