Question

write the coordinates of the vertices after a rotation 180° counterclockwise around the origin.

Explanation:

Step1: Identify original coordinates

Original vertices: $G(1,9)$, $D(1,6)$, $E(9,6)$, $F(9,9)$

Step2: Apply 180° rotation rule

For any point $(x,y)$, rotation gives $(-x,-y)$.

• $G(1,9) \to (-1,-9)$
• $D(1,6) \to (-1,-6)$
• $E(9,6) \to (-9,-6)$
• $F(9,9) \to (-9,-9)$

Answer:

$G'(-1, -9)$, $D'(-1, -6)$, $E'(-9, -6)$, $F'(-9, -9)$