Question

Given the following transformation rotation 90° clockwise about the origin c(0, -4), D(1, -2), E(2, -2), F(5, -5) What would F' be?

Answer 1

After a 90° clockwise rotation about the origin, F' would be (-5, -5).

Step-by-step explanation:

To find F' after a 90° clockwise rotation about the origin, we can use the rotation matrix:

cos(θ) -sin(θ)
sin(θ) cos(θ)

For a 90° clockwise rotation, θ = -90°. Substituting the coordinates of F into the matrix, we get:

(5, -5) x (0 -1) = (-5, -5)

Therefore, F' would be (-5, -5).