Question

write the coordinates of the vertices after a reflection over the line $x = 5$.
$b$(□, □)
$c$(□, □)
$d$(□, □)
$e$(□, □)

Explanation:

Step1: Identify original coordinates

Original vertices: $B(3, -9)$, $C(3, -5)$, $D(4, -3)$, $E(4, -7)$

Step2: Reflection rule for $x=5$

For a point $(x,y)$, new $x$: $x' = 2*5 - x = 10 - x$, $y'=y$

Step3: Calculate $B'$

$x' = 10 - 3 = 7$, $y'=-9$
$B'(7, -9)$

Step4: Calculate $C'$

$x' = 10 - 3 = 7$, $y'=-5$
$C'(7, -5)$

Step5: Calculate $D'$

$x' = 10 - 4 = 6$, $y'=-3$
$D'(6, -3)$

Step6: Calculate $E'$

$x' = 10 - 4 = 6$, $y'=-7$
$E'(6, -7)$

Answer:

$B'(7, -9)$
$C'(7, -5)$
$D'(6, -3)$
$E'(6, -7)$