Question

the shape above has the following coordinates: rotate the shape 180° counter - clockwise. what are the coordinates of the image?
r: y: b:
r: y: b:

Explanation:

Step1: Recall rotation rule

When rotating a point $(x,y)$ 180° counter - clockwise about the origin, the new coordinates $(x',y')$ are given by $x'=-x$ and $y'=-y$.

Step2: Assume initial coordinates

Let's assume the coordinates of $R=(x_1,y_1)$, $Y=(x_2,y_2)$ and $B=(x_3,y_3)$.

Step3: Calculate new coordinates

$R'=(-x_1,-y_1)$, $Y'=(-x_2,-y_2)$, $B'=(-x_3,-y_3)$.

Answer:

Since the initial coordinates of $R$, $Y$ and $B$ are not given in the problem statement, the general answers are:
$R$: $(x_1,y_1)$; $Y$: $(x_2,y_2)$; $B$: $(x_3,y_3)$
$R'$: $(-x_1,-y_1)$; $Y'$: $(-x_2,-y_2)$; $B'$: $(-x_3,-y_3)$