Question

the shape above has the following coordinates: r (-2,5), y (-9,3), g (-7,8) and b (0,10). rotate the shape 270° counterclockwise. what are the coordinates of the image? r: y: g: b: then reflect it over the x - axis. what are the coordinates of the new image? r: y: g: b

Explanation:

Step1: Apply 270 - degree counter - clockwise rotation rule

The rule for a 270 - degree counter - clockwise rotation about the origin $(x,y)\to(y, - x)$.
For point $R(-2,5)$: $R'\to(5,2)$.
For point $Y(-9,3)$: $Y'\to(3,9)$.
For point $G(-7,8)$: $G'\to(8,7)$.
For point $B(0,10)$: $B'\to(10,0)$.

Step2: Apply x - axis reflection rule

The rule for reflecting a point $(x,y)$ over the x - axis is $(x,y)\to(x, - y)$.
For $R'(5,2)$: $R''\to(5,-2)$.
For $Y'(3,9)$: $Y''\to(3,-9)$.
For $G'(8,7)$: $G''\to(8,-7)$.
For $B'(10,0)$: $B''\to(10,0)$.

Answer:

$R'=(5,2)$, $Y'=(3,9)$, $G'=(8,7)$, $B'=(10,0)$
$R''=(5,-2)$, $Y''=(3,-9)$, $G''=(8,-7)$, $B''=(10,0)$