Question

Figure ABCD is rotated 90°counterclockwise about the origin. Which of the following gives the correct measure of an image of one of its sides?



C'D' = √10

D'D' = 5

A'B' = √17

Answer 1

https://clackamasweb.owschools.com/media/g_geo_ccss_2014/10/img_geo_10_4_rev1_3_5_rotation_assess2.gif

Answer 2

@TheSmartOne

Answer 3

@DisplayError

Answer 4

A'B' = sqrt 17?

Answer 5

Yeah, that's what I'm getting. I don't think you have to rotate the figure because you're not stretching or compressing the figure, so A'B'C'D' is congruent to ABCD.
I used the distance formula to find each of the given lengths (the choices you were provided): \(\text{Distance} = \sqrt{ \left(x_2 - x_1\right)^2 + \left(y_2 - y_1\right)^2}\) and found that \(A'B' = \sqrt{17}\).

Answer 6

thnx