Question

write the coordinates of the vertices after a reflection over the line $y = -x$.
$r(\square, \square)$
$s(\square, \square)$
$t(\square, \square)$
$u(\square, \square)$

Explanation:

Step1: Identify original coordinates

Original vertices: $R(6, -2)$, $S(10, -2)$, $T(10, 6)$, $U(6, 6)$

Step2: Apply reflection rule $y=-x$

The rule for reflection over $y=-x$ is $(x, y) \to (-y, -x)$.

• For $R(6, -2)$: $R' = -(-2), -6 = (2, -6)$
• For $S(10, -2)$: $S' = -(-2), -10 = (2, -10)$
• For $T(10, 6)$: $T' = -(6), -10 = (-6, -10)$
• For $U(6, 6)$: $U' = -(6), -6 = (-6, -6)$

Answer:

$R'(2, -6)$
$S'(2, -10)$
$T'(-6, -10)$
$U'(-6, -6)$