Question

a rectangle is transformed according to the rule r0, 90°. the image of the rectangle has vertices located at r(-4, 4), s(-4, 1), p(-3, 1), and q(-3, 4). what is the location of q? (-4, -3) (-3, -4) (4, 3) (3, 4)

Explanation:

Step1: Define rotation rule

90° counterclockwise rotation: $(x,y)\to(-y,x)$

Step2: Relate Q' to Q

Q'(-3,4) is image of Q(x,y), so $(-y,x)=(-3,4)$

Step3: Solve for Q coordinates

From $-y=-3$: $y=3$; from $x=4$: $x=4$

Answer:

(4, 3)