Question

the shape above has the following coordinates: rotate the shape 90° clockwise. what are the coordinates of the image? r:3,6 y: g: b: r: y: g: b:

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree clockwise rotation about the origin is $(x,y)\to(y, - x)$.

Step2: Assume original coordinates

Let's assume the original coordinates of $R$ are $(3,6)$. For point $R$, applying the rotation rule: $x = 3,y = 6$, so $R'=(6,-3)$.

Step3: Generalize for other points

For any point $(x,y)$ in the shape, after a 90 - degree clockwise rotation about the origin, its new coordinates $(x',y')$ are given by $x'=y$ and $y'=-x$.

Answer:

	Original	Rotated
Y	(Assume original coordinates $(x_y,y_y)$)	$(y_y,-x_y)$
G	(Assume original coordinates $(x_g,y_g)$)	$(y_g,-x_g)$
B	(Assume original coordinates $(x_b,y_b)$)	$(y_b,-x_b)$