Question

write the coordinates of the vertices after a rotation $180^{\circ}$ counterclockwise around the origin.
$e(\square, \\ )$
$f(\\ , \\ )$
$g(\\ , \\ )$
$h(\\ , \\ )$

Explanation:

Step1: Identify original coordinates

Original vertices: $E(2, -8)$, $F(2, -2)$, $G(8, -2)$, $H(8, -8)$

Step2: Apply 180° rotation rule

For a point $(x,y)$, 180° rotation gives $(-x,-y)$.

• $E'$: $(-2, -(-8)) = (-2, 8)$
• $F'$: $(-2, -(-2)) = (-2, 2)$
• $G'$: $(-8, -(-2)) = (-8, 2)$
• $H'$: $(-8, -(-8)) = (-8, 8)$

Answer:

$E'(-2, 8)$
$F'(-2, 2)$
$G'(-8, 2)$
$H'(-8, 8)$