Question

write the coordinates of the vertices after a reflection over the line $x = 4$.
$j(square,square)$
$k(square,square)$
$l(square,square)$
$m(square,square)$

Explanation:

Step1: Find the original coordinates

From the graph, we can see that \(J(6,-10)\), \(K(8,-10)\), \(L(8,-8)\), \(M(6,-8)\)

Step2: Use the reflection formula over \(x = a\)

The formula for reflecting a point \((x,y)\) over the line \(x=a\) is \((2a - x,y)\). Here \(a = 4\)

For point \(J(6,-10)\):

$$
LATEXBLOCK0
$$

So \(J'(2,-10)\)

For point \(K(8,-10)\):

$$
LATEXBLOCK1
$$

So \(K'(0,-10)\)

For point \(L(8,-8)\):

$$
LATEXBLOCK2
$$

So \(L'(0,-8)\)

For point \(M(6,-8)\):

$$
LATEXBLOCK3
$$

So \(M'(2,-8)\)

Answer:

\(J'(2,-10)\), \(K'(0,-10)\), \(L'(0,-8)\), \(M'(2,-8)\)