Question

write the coordinates of the vertices after a rotation $180^{\circ}$ counterclockwise around the origin.

Explanation:

Step1: Identify original vertices

Original coordinates:
$Q=(6, 2)$, $R=(6, 8)$, $S=(10, 8)$, $T=(10, 2)$

Step2: Apply 180° rotation rule

For any point $(x,y)$, 180° counterclockwise rotation around origin gives $(-x,-y)$.

• For $Q$: $(-6, -2)$
• For $R$: $(-6, -8)$
• For $S$: $(-10, -8)$
• For $T$: $(-10, -2)$

Answer:

$Q'=(-6, -2)$, $R'=(-6, -8)$, $S'=(-10, -8)$, $T'=(-10, -2)$