Question

the shape above has the following coordinates: rotate the shape 90° clockwise. what are the coordinates of the image? r: y: g: b: r: y: g: b:

Explanation:

Step1: Recall rotation rule

For a 90 - degree clockwise rotation, the rule for a point $(x,y)$ is $(x,y)\to(y, - x)$.

Step2: Assume initial coordinates

Let's assume $R(x_1,y_1)$, $Y(x_2,y_2)$, $G(x_3,y_3)$, $B(x_4,y_4)$. After 90 - degree clockwise rotation, $R'(y_1,-x_1)$, $Y'(y_2,-x_2)$, $G'(y_3,-x_3)$, $B'(y_4,-x_4)$.

Step3: Locate initial points on grid

Without seeing the actual grid - based coordinates of $R$, $Y$, $G$, $B$, we can't give exact numerical values. But if $R=(a,b)$, then $R'=(b, - a)$; if $Y=(c,d)$, then $Y'=(d, - c)$; if $G=(e,f)$, then $G'=(f, - e)$; if $B=(g,h)$, then $B'=(h, - g)$.

Answer:

Without the actual initial coordinates of $R$, $Y$, $G$, $B$ from the grid, we can only give the general form:
$R'$: If $R=(x_R,y_R)$ then $R'=(y_R,-x_R)$
$Y'$: If $Y=(x_Y,y_Y)$ then $Y'=(y_Y,-x_Y)$
$G'$: If $G=(x_G,y_G)$ then $G'=(y_G,-x_G)$
$B'$: If $B=(x_B,y_B)$ then $B'=(y_B,-x_B)$