Question

Missy’s rotation maps point K(17, –12) to K’(12, 17). Which describes the rotation

Answer 1

Hi welcome to QC! sorry i cant help.

Answer 2

Hello! I can help :)

please wait a few minutes as I draw out a picture

Answer 3

In the picture (sorry for my bad drawing skills)
if (x,y) is the original point
then a 90 degree rotation (counterclockwise) would result in the point (-y, x)
180 degree rotation would be (-x, -y)
270 degree rotation would be (y, -x)

Answer 4

so for this question, this is gonna take some thinking (because the negatives get weird)

so
let's think of K = (17, -12) as the original point
so (x, y ) = (17, -12)
x = 17
y = -12

yes?

Answer 5

then, what does (12, 17) look like in terms of "x" and "y"?

it looks like we have a positive 12
since y = negative 12, we can say 12 = negative y

so 12 = "-y"

then,
(12, 17) = ( -y , x)

I know this can be confusing, do you understand what I did here? :)

Answer 6

so we can see that (x, y) got turned into (-y, x)



how can we relate to what I said before about:
90 degree rotation (counterclockwise) would result in the point (-y, x)
180 degree rotation would be (-x, -y)
270 degree rotation would be (y, -x)