Question

write the coordinates of the vertices after a translation 7 units left.
b(\boxed{\quad}, \boxed{\quad})
c(\boxed{\quad}, \boxed{\quad})
d(\boxed{\quad}, \boxed{\quad})
e(\boxed{\quad}, \boxed{\quad})

Explanation:

Step1: Identify original coordinates

Original vertices: $B(3,2)$, $C(3,7)$, $D(7,7)$, $E(7,2)$

Step2: Apply translation rule

For left translation, subtract 7 from $x$-coordinate: $(x,y)\to(x-7,y)$

Step3: Calculate new coordinates

$B': 3-7=-5$, $y=2$ → $(-5,2)$
$C': 3-7=-5$, $y=7$ → $(-5,7)$
$D': 7-7=0$, $y=7$ → $(0,7)$
$E': 7-7=0$, $y=2$ → $(0,2)$

Answer:

$B'(-5, 2)$
$C'(-5, 7)$
$D'(0, 7)$
$E'(0, 2)$